Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 860497: Using the quadratic formula, how do i find the solutions for 1/2x - 2x = 3/2
a= 0.5 b= -2 c= 0 ??

Click here to see answer by ewatrrr(24785)

Question 860457: You are flying a plane at a height of 1500m, when you spot a squirrel 500m directly below you fall from a cliff. The squirrel falls according to this data, and continues to fall with the same acceleration towards the ground (not a linear pattern):
(X, Y)
(Time (s), height above the ground (m))
(0, 1000)
(1, 995)
(2, 980)
(3, 955)
Assuming that you can turn your plane instantaneously and fly directly downwards at 100m/s to try and save the squirrel, determine at what height and what time you catch the squirrel. (Don't worry, you will be able to save him)
-
What I know: my plane is going to be represented by a linear pattern and the squirrel will be represented by a parabola. I first need to find the equations of both lines and then I need to find the point where the two intersect.
PLEASE HELP!! THANK YOU!

Click here to see answer by ankor@dixie-net.com(22740)

Question 860473: This is a problem to determine the width and length of a rectangle where the length is 45 feet more than the width. The area is 9000 feet. What formula is used to determined the width and length. We tried and tried to figure out, but can't do it. Please help
Click here to see answer by mananth(16946)

Question 860572: Solve each equation by the quadratic formula. Give only real number solutions. 2x2-4x=5
Click here to see answer by mananth(16946)

Question 860663: The square of a positive number decreased by 4 times the number is 12. [only an algebraic soultion]

Click here to see answer by ewatrrr(24785)

Question 860693: I need help solving this quadratic equation using the Pythagorean Theorem.
Buried treasure. Ahmed has half of a treasure map,
which indicates that the treasure is buried in the
desert 2x + 6 paces from Castle Rock. Vanessa has the
other half of the map. Her half indicates that to ﬁnd
the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can ﬁnd x and save a lot of digging. What is x?

Click here to see answer by ewatrrr(24785)

Question 860744: How do I use the formula y=a(x-p)^2+q to determine the equation of the graph not given any points
Click here to see answer by ewatrrr(24785)

Question 860743: How do I use the formula y=a(x-p)^2+q not given any points
Click here to see answer by Alan3354(69443)

Question 860871: The long leg of a right triangle is 17 meters longer than the short leg. The hypotenuse is 25 meters long. Find the length of the short leg.
Click here to see answer by mananth(16946)

Question 860831: at a certain time of day a tree that is x meters casts a shadow that is x-46 meters long if the distance from the top of the tree to the end of the shadow is x+4 meters long, what is the height, x, of the tree? ( I'm having a hard time figure what the formula is)?
Click here to see answer by mananth(16946)

Question 860938: Factor.
9x^2+12xy+4y^2
Click here to see answer by Fombitz(32388)

Question 860575: 4. Find the center and the radius of each circle. (Hint: In exercises 43 and 44 divide both sides by the GCM)- 2xsquared+2ysquared+20x+16y+10=0
Click here to see answer by Fombitz(32388)

Question 860676: Hi, can someone help please?
Graph the quadratic
y=1/4x^2-2
thank you.
Click here to see answer by Fombitz(32388)

Question 861107: If a quadratic function has a vertex at (5,-3) and x intercepts at 4 and 6 what does the y value of the vertex represent?
Click here to see answer by ewatrrr(24785)

Question 861396: A ball is thrown upward from ground level with an initial velocity of 108 ft per sec. Its height H in feet after T seconds is given by the equation
h = 16t^2 + 108t.At what time will the ball hit the ground ?
Click here to see answer by josmiceli(19441)

Question 861416: A concrete walk of uniform width around a rectangular garden that measures 24 by 40 feet is to be built. You have available concrete mix of 3975 square feet. How wide should the concrete walk be to use up all the concrete mix? The answer is 19.35 feet wide but how do you get that answer?
Click here to see answer by josgarithmetic(39613)

Question 861451: Use the quadratic formula to solve the equation

Give your answers correct to two decimal places.
I've tried doing it but unable to solve it, here is a link to the picture which properly shows the layout of the question.
http://gyazo.com/a066d0cdee33ee856d4a04c68906672d

Click here to see answer by richwmiller(17219)

Question 861461: Bob hits a cricket ball into the air. The height(in feet) of the ball at time t seconds is given by h(t)= -10.5t^2+66.3t+6. Find the maximum height the ball reaches and the time in seconds when that maximum height occurs. I'm not looking for the answer but HOW to solve this as I can't find the formula.
Click here to see answer by richwmiller(17219)

Question 861516: X^2-10x+29=0
Hi! I have to use the quadratic formula to solve this equation. I am working with the site cool math for a homework assignment. I have to follow example problems and then solve similar problems. The section I am currently working on is teaching about how to use the imaginary number "i" to solve when you get a negative number under the radical. When I attempted this problem, I got an answer but I did not get a negative under the radical. I believe I made a mistake please help!!
Click here to see answer by ewatrrr(24785)

Question 861837: The axis of symmetry of a parabola is the line x = 5. What is the x-coordinate of the vertex of the parabola
Click here to see answer by ewatrrr(24785)

Question 861837: The axis of symmetry of a parabola is the line x = 5. What is the x-coordinate of the vertex of the parabola
Click here to see answer by Fombitz(32388)

Question 861836: A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by the function h(t) = �16t2 + 17t + 8. What is the maximum height of the water? Round to the nearest tenth
Click here to see answer by ewatrrr(24785)

Question 861864: g(x)= x^2 + 2
Click here to see answer by ewatrrr(24785)

Question 861834: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = �4.9t2 + 7.1t + 10. What is the maximum height that the diver will be above the water? Round to the nearest tenth
Click here to see answer by Alan3354(69443)

Question 861853: Hey,
I'm really struggling with these 3 three math questions about quadratic equations. It would be so helpful if I can get help for these please.
Here is a picture of the question
http://gyazo.com/9156eb3823bb4d44093c6853158a9208
Click here to see answer by richwmiller(17219)

Question 861913: What two numbers multiply to -12 but add up to 1?
Click here to see answer by Alan3354(69443)

Question 861913: What two numbers multiply to -12 but add up to 1?
Click here to see answer by josgarithmetic(39613)

Question 861952: The width of a rectangle is 12 inches less than its length. The total are of the rectangle is 64. What is the width of the rectangle?
Click here to see answer by josgarithmetic(39613)

Question 861951: The area of a rectangle is represented by (X^2+10x-56). If the length of the rectangle is (x-4), what would the width be?
Click here to see answer by josgarithmetic(39613)

Question 861967: Hey,
I'm having trouble with these 3 questions about quadratic equation and I can't do it. Stressing me out very much, are you able to help me please. I'll try write out the question as best as I can.
John likes to play baseball with his friends in the local playing ﬁelds. Last
week John hit his best shot ever. The trajectory of the baseball after he
hit it can be modelled by the quadratic equation
y = −x2/40+31x/40+4/5
where y represents the height in metres of the baseball above the ground,
and x represents the horizontal distance in metres of the baseball from the
position where it was struck by John. Assume that the surface of the
playing ﬁeld is horizontal.
(a) The graph of y = −x2/40+31x/40+4/5 is a parabola.
(i) Is the parabola u-shaped or n-shaped? How can you tell this from
the equation?
(ii) Use algebra to ﬁnd the x-intercepts and y-intercept.
(iii) Find the equation of the axis of symmetry, explaining your
method. Use this information to ﬁnd the coordinates of the
vertex, giving your answers to two decimal places.
Those are the three questions I am really struggling with, if you help me with them be a massive help.
Here is a picture of the question as well just in case if I didn't write it out on the browesr
http://gyazo.com/a87957d7039525702b70d68fc866b309
Many thanks

Click here to see answer by ewatrrr(24785)

Question 862002: Solve the following equation by using square roots : 3(5x-2) ^2 =192
Click here to see answer by Alan3354(69443)

Question 862078: How does one evaluate (what is method for) following question...?
"If k is a negative number, which of following equations will have nonreal complex solutions: a) x^2 = 4k, b) x^2=-4k, c) (x+2)^2=-k, d) x^2+k=0 ."

Click here to see answer by KMST(5328)

Question 862070: 1. If (2�-5)(2�+5)=5 what is the value of 4x^2?
2. If (t-2)^2=0 what is the value of (t-3)(t+6)
3. Solve the equation by using square roots : 3(5�-2)^2
4. Find the discriminant of the folloeing equation: -�^2=-2�+5
5. If the graph of y=�^2 is reflected over the x-axis and then translated the graph 3 units down, what is the new equation?
6. What is the quadratic equation that has the solution (-2,5/3)
please help me answer these, I have a test tomorrow, and these are some review problems I dont understand, please, thank you so much,

Click here to see answer by Help Math(4)

Question 862276: What is the solution to the equation 1 over the square root of 8 = 4(m + 2)?
m = −15 over 4
m = −11 over 4
m = 5 over 4
m = 9 over 4
Click here to see answer by Fombitz(32388)

Question 862276: What is the solution to the equation 1 over the square root of 8 = 4(m + 2)?
m = −15 over 4
m = −11 over 4
m = 5 over 4
m = 9 over 4
Click here to see answer by Theo(13342)

Question 862390: sum of the squares of two numbers is 100. sum of the numbers is 2. find the numbers.
Click here to see answer by ben720(159)

Question 862476: x^2+24x+144=0
How can I figure out the integral roots? Every time I try solve it, I get a straight line instead of a parabola.
Click here to see answer by josgarithmetic(39613)

Question 862546: 192 square tiles are needed to tile a kitchen wall. if the tiles had measured 2cm less each way, 300 tiles would have been needed. find the size of the larger tiles.
Click here to see answer by ankor@dixie-net.com(22740)

Question 862638: 3x^2-3x+5
Click here to see answer by ewatrrr(24785)

Question 862650: Identify the following components of each quadratic function.
Then graph the function.
1. y=x^2+2x-3
axis of symmetry x=-b/2a :
Vertex (-b/2a,y):
y-intercept (c):
two other points:
help please, show all work thanks so much!
Click here to see answer by ewatrrr(24785)

Question 862600: Find the numbers, if any, at which f has a local minimum. What are the local minima?
The graph has 3 connected points on it
(-3,0), (0,1), (3,0)
a. f has a local minimum at x = -3 and 3; the local minimum is 0
b. f has a local minimum at x = -3; the local minimum is 0
c. f has a local minimum at x = 0; the local minimum is 1
d. f has no local minimum

Click here to see answer by Fombitz(32388)

Question 862667: Help me please, thank you.
Graph the quadratic
y+8+3x^2=12x
show all work if some thanks !

Click here to see answer by ewatrrr(24785)

Question 862679: One more help please!
y=-2x^2-8x+10
axis of symmetry x=-b/2a:
vertex (-b/2a,y):
y-intercept (c):
two other points:
Is the Vertex to this problem : (-2,18)?
Is the axis of symmetry to this problem x=-2 ?
thanks for the help
Click here to see answer by ewatrrr(24785)

Question 862671: a rectangular plot ground is 10 meters longer than it is wide its area is 20,000 square meters

Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240