Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 475628: Simplify: Assume that b and c are positive.
(8bc^3)^1/3 / (81b^-5c^3)^3/4
Please show me step by step to get the answer. Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 475899: Equations Reducible to Quadratic Form:
Use the given substitution to solve the equation:
x4 - 7x2 + 6 = 0 u=x2
I don't know how to enter the CARET symbol, but eh x is to the 4th power and the other x is to the 2nd power
Click here to see answer by mananth(16946)

Question 475936: Solve. Round any approximate solution to the fourth decimal place.
20=-3+4(2)^2
Please show me step by step to get the answer. Thanks
Click here to see answer by richard1234(7193)

Question 475932: Solve. Round any approximate solution to the fourth decimal place.
5^x+7=50-3(5)^x
Please show me step by step to get the answer. Thanks
Click here to see answer by lwsshak3(11628)

Question 475997: can you show me the steps to solve the following: 2+3i/5+3i.
Click here to see answer by Tatiana_Stebko(1539)

Question 476022: Can you show me the steps in solving the following: Find the vertex:
f(x)= x^2-10x+34 Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 475935: Solve. Round any approximate solution to the fourth decimal place.
3^2r x 3^r-4=97
Please show me step by step to get the answer. Thanks
Click here to see answer by Tatiana_Stebko(1539)

Question 476116: Help in solving
6p+1<-7
How do you plot on a graph
Click here to see answer by rfer(16322)

Question 476071: How do you know? Quadratic equation with positive discriminant
Click here to see answer by Alan3354(69443)

Question 476210: use the quadratic formula to solve the equation
x^2-5x=-9
Click here to see answer by Tatiana_Stebko(1539)

Question 476328: Can you please help me solve this story problem. A ball is thrown downward from a window in a tall building. It's position at time t in seconds is s=16t^2+32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 217 feet?
Click here to see answer by jorel1380(3719)

Question 476337: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
4; only solution

Click here to see answer by jorel1380(3719)

Question 476345: solve
x^2+6x-4=0
Click here to see answer by jorel1380(3719)

Question 476259: In the diagram given below, three circles having centres at A, B and C touch each other externally.
(a) given that the radius of the three circles are 4cm, x cm, and (2x+2) cm respectively, and angle ABC=90�, form an equation in x and show that it reduces to 3x2-2x-8=0
(b) Solve the equation 3x2-2x-8=0
(c) Hence, calculate the length of th perpendicular from B to AC
Click here to see answer by Edwin McCravy(20054)

Question 476397: find the value of x in the following equation- x�+5670*x+153 = 0
Click here to see answer by Edwin McCravy(20054)

Question 476468: why is it a good idea to factor a quadratic equation before you solve?
Click here to see answer by MathLover1(20849)

Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!
Click here to see answer by jim_thompson5910(35256)

Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!
Click here to see answer by Edwin McCravy(20054)

Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!
Click here to see answer by MathLover1(20849)

Question 476481: solve by quadratic formula :

2x^2-5x+6=0
Click here to see answer by jim_thompson5910(35256)

Question 476454: solve for x
4x(x-7)-5x(x-6)=-3
Click here to see answer by mananth(16946)

Question 476484: Can you explain exactly how a Quadratic equation works and how you put it on a graph, i.e parabola?
Click here to see answer by Theo(13342)

Question 476832: 1. (30 points) In 1981, Vadimir Poliakov (USSR) set a world record of 19ft � in for the pole vault (www.polevault.com). To reach that height, Poliakov obtained a speed of approximately 36 feet per second on the runway. The formula h = -16t2 + 36t gives his height t seconds after leaving the ground.
a. Does the graph of this equation open up or down? How did you determine this?

Click here to see answer by Alan3354(69443)

Question 476845: Use the quadratic formula to solve the equation:
0 = x^2 + x - 20
Thanks!
Click here to see answer by Alan3354(69443)

Question 476848: Use the quadratic formula to solve the equation:
0 = x^2 - 5x + 6

Click here to see answer by jim_thompson5910(35256)

Question 476857: The revenue from selling x units of a product is given by
y = -0.0002x^2 + 20x. How many units must be sold in
order to have the greatest revenue? (Find the x-coordinate
of the vertex of the parabola.)

Click here to see answer by stanbon(75887)

Question 476855: Decide how many solutions this equation has:
x^2 + 3 = 0

Click here to see answer by stanbon(75887)

Question 476882: x(x+3)(x+6)(x+9)+56= (x+7)(x+2)(x*x+9x+4)
Click here to see answer by layaya(7)

Question 476882: x(x+3)(x+6)(x+9)+56= (x+7)(x+2)(x*x+9x+4)
Click here to see answer by bucky(2189)

Question 476930: I actually have 2 questions and i am really having problems. i have tried the first one but it does not look right. and the second is a word problem one and i cant not even figure out how to do this one.
for the randicand i am using the capital V

1. solve: 15x^2 + 7t = 2
put to standard: 15x^2 +7t - 2 =0
a=15 b=7 c= -2
x= -7+- V7^2 - 4(15)(-2)/2 * 15
x= -7+- V49-120/30

x = 1/6 or x = 0.3

the second one ( word prob.)
Abby rows 10 km upstream and 10 km back in a total of 3 hr. the speed of the river is 5 km/h. find abbys speed in still water.

Click here to see answer by jim_thompson5910(35256)

Question 476940: ( word prob.)
Abby rows 10 km upstream and 10 km back in a total of 3 hr. the speed of the river is 5 km/h. find abbys speed in still water.

i have no idea how to even start this one...can someone please help me. when it comes to word problems i really do not have a clue.
thanks in advance
Click here to see answer by jim_thompson5910(35256)

Question 476107: how do you graph y=(-1/3)(x+1)(x-5)
Click here to see answer by bucky(2189)

Question 476936: Give the exact and approximate solutions to three decimal places. y^2 - 6y + 9 =100
Click here to see answer by robertb(5830)

Question 476928: x(x+3)(x+6)(x+9)+56
Click here to see answer by robertb(5830)

Question 476973: A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234 cm , find the dimension of the frame.
Click here to see answer by lwsshak3(11628)

Question 477042: examples of quadratic equation

Click here to see answer by Alan3354(69443)

Question 477118: Hello. My question is I need to solve by factoring. I tried to but this into standard form, and i came up with When I put it into my calculator, I found the intersects were (-4.5,0) and (2,0). However, I need to know how to do this without using a calculator. Do you know of any factoring methods that would help me out on this problem?
Click here to see answer by richard1234(7193)

Question 477365: Find the
vertex
line of symmetry
maximum or minimum value
graph the function
f(x)=-2x^2+2x+2
Click here to see answer by lwsshak3(11628)

Question 477474: The number of people who are sick t days after the outbreak of a flu epidemic is given byn the equation p=-t^(2)+100t+25. What is the maximum number of people sick during the outbreak?
Click here to see answer by ewatrrr(24785)

Question 477477: Find the vertex and axis of the parabola y-4=-2(x+3)^2
Click here to see answer by ewatrrr(24785)

Question 477539: Problem:
Determine whether 3xy^2+4y^2 = 4x^2-11x defines y as a function of x.
I do not even know how to BEGIN this problem, and can find no similar problems in the book to work for practice. If you could just point me in the right direction, I would be most grateful!
Click here to see answer by stanbon(75887)

Question 477657: Let M = f(t) be the average number of meals per person purchased at restaurants annually in
the year that is t years since 1900. An equation of f is f(t) = 2.22t � 71.01.
a. Find an equation for f^�1.
b. Find f(125)
c. Find f^�1 (125)
Please solve a,b, and c for the question above.
Please show me step by step to get the answer. Thanks
I really DO NOT know how to solve this problem. Please HELP ME!! Thanks
Click here to see answer by stanbon(75887)

Question 477831: How do I use the quadratic formula to solve for x if 3x+35=26x
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