Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 253694: how to solve a quadratic equation for x=2 and x=5
Click here to see answer by ankor@dixie-net.com(22740)

Question 253694: how to solve a quadratic equation for x=2 and x=5
Click here to see answer by JimboP1977(311)

Question 253836: how do i use the discriminant to determine how many real number solutions the quadratic equation -4j^2+3j-28=0 has?
Click here to see answer by JimboP1977(311)

Question 253942: We are studying for a test on Quadratic equations.
Equation is: 2x^2+4x-6=0
Why if the Discriminant is -b (plus or minus) square root of b^2-4ac/2Xa does Algebra.com solve it as -4 (plus or minus) square root of 4^2+4x2x(-6)/2x2
What does the +or- mean? Is there a clear explanation? For instance, when does it change a numeric in the square root equation; what is the rule?
Thanks, Shawn G
Click here to see answer by Alan3354(69443)

Question 254002: What do I do when i get to:
x= 8 +/- 6 the square root of 3 all divided by 2
the original question was
Click here to see answer by drk(1908)

Question 254013:
how do i get 2 decimals for the answer?
Click here to see answer by jim_thompson5910(35256)

Question 254049: please help me solve this equation
Click here to see answer by solver91311(24713)

Question 254065: what is the value of x using the equation
Click here to see answer by richwmiller(17219)

Question 254079: 80% of what number is 252?

Click here to see answer by richwmiller(17219)

Question 254212: Are the following functions linear, quadratic or neither of the two? Explain how you know.
- y=3x-5
- y=(3x-2)(x+6)
Click here to see answer by richwmiller(17219)

Question 254212: Are the following functions linear, quadratic or neither of the two? Explain how you know.
- y=3x-5
- y=(3x-2)(x+6)
Click here to see answer by Edwin McCravy(20054)

Question 254213: Explain how you know if the graph of a quadratic is wider or narrower than the standard quadratic, y=x^2.
Click here to see answer by Edwin McCravy(20054)

Question 254221: A.construct a table of values for y=x^2-4x+3. use 0 B. Using your table from A, draw a table a graph of y=x^2-4x+3 in the space at the right.
c. based oon your graph and table, when x^2-4x+3=0 what is x?__________________
D. what is the formula of the line of reflection?_____________
E. what are the coordinates of the turning point?_____________
please please please answer my questions.
Click here to see answer by richwmiller(17219)

Question 254241: how do you find the points for y=5x squared to graph the parabola?
Click here to see answer by richwmiller(17219)

Question 254244: Solve y=x^2-4 and graph
If applicable I need intercepts, vertices and the solution.
Thank You
Click here to see answer by MRperkins(300)

Question 254215: For each of the following quadratics,
A. y=-2(x+1)^2+8
B. y=x^2+6x-16
- Find the coordinates of the vertex
- Direction of opening
- Identify if the graph is wider or narrower than normal
- Find the equation of the axis of symmetry
- Find the y-intercept
- Find the x-intercept
- Give the domain and range for each quadratic
- Draw a sketch of the quadratic. Be sure to label the vertex and axis of symmetry clearly. Use the staircase method, the x-intercepts or a point of the axis of symmetry to find the actual width of the graph.
Click here to see answer by drk(1908)

Question 254208: Find the equation of a quadratic equation if the vertex is (-3, -2) and it passes through the point (-2, 0).
Click here to see answer by drk(1908)

Question 254255: the area of a rectangle is 2x^2 - 11x + 15 square feet. The length of the rectangle is 2x - 5 feet. What is the width of the rectangle?
Click here to see answer by drk(1908)

Question 254294: I need to solve this equation with the quadratic formula.

What i got was -6 + or - Squareroot of 31
I have done this twice but i seem to get it wrong every time then i also got -12 + or - squareroot of 31 and that was wrong to please help me.
Click here to see answer by Alan3354(69443)

Question 254298: Find vertex and y-intercept of the equation y=0.5x^2+6x+10
Click here to see answer by drk(1908)

Question 254338: The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.
Click here to see answer by drk(1908)

Question 254211: The vertical height, h, in metres of a golf ball as it travels a horizontal distance, d metres, down the fairway, can be described using a quadratic function. A pro-golfer can drive the ball 300m down the fairway before it lands. If the ball's maximum height was 15m:
- draw a sketch of the path of the golf ball
- find the equation of the path of the golf ball
- determine the two distances down the fairway when the ball is 10m above the ground. Give your answer to the nearest tenth of a metre.
Click here to see answer by solver91311(24713)

Question 254430: If x^2 + y^2 = 58 and xy = 21 , find the largest possible value of x + 1/y
Click here to see answer by richwmiller(17219)

Question 254455: Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate?
Click here to see answer by richwmiller(17219)

Question 254335: The area of a rectagle is 357cm2. The width of the rectangle is 4cm less than the length. What are the dimensions of the rectangle
Click here to see answer by checkley77(12844)

Question 254468: Solve 4x � 7 > x � 2.
Click here to see answer by unlockmath(1688)

Question 254535: I'm trying to figure out how to solve this problem. Thank you for all your help.
Graph the quadratic function f(x)= 4(x+5)^2-1
Click here to see answer by JimboP1977(311)

Question 254607: find two consecutive integers whose product is 42
Click here to see answer by richwmiller(17219)

Question 254642: x^2=x+6

please help.
Click here to see answer by JimboP1977(311)

Question 254642: x^2=x+6

please help.
Click here to see answer by drk(1908)

Question 254645: x^2=x+6

please help.
Click here to see answer by richwmiller(17219)

Question 254683: How many solutions can an equation whose form is (x-1)(x �2)(x � 3) = 0 have?
Click here to see answer by solver91311(24713)

Question 254683: How many solutions can an equation whose form is (x-1)(x �2)(x � 3) = 0 have?
Click here to see answer by palanisamy(496)

Question 254702: For y=x^2, find the average rate of change as
a) x changes from 1 to 3
b) x changes from 2 to 5
Click here to see answer by drk(1908)

Question 254716: The area of a rectangle is 63 ft squared. the length is 2 ft longer than the width. what are the dimentions of the rectangle.
Click here to see answer by drk(1908)

Question 254765: can you please help me write a quadratic equation with the roots 0,3 (in standad form)

Click here to see answer by stanbon(75887)

Question 254833: A rectangular field is 300 ft by 500 ft. A roadway of width x ft is to be built just inside the field. What is the widest the roadway can be and still leave 100,000 ft2 in the region?
Click here to see answer by richwmiller(17219)

Question 254837: The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
A. $14,310.40
B. $14,990.90
C. $15,290.70
D. $15,737.50
E. $16,935.80
Click here to see answer by vksarvepalli(154)

Question 255048: simplify completely.
x - 2/8x^2 - 32
Click here to see answer by palanisamy(496)

Question 255026: Please solve x^3=1
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