Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 694064: Solve the equation by completing the square.
X^2- 3x -8 =0
Click here to see answer by Ave(106)

Question 693730: y = 5x squared - 8x + 2
Click here to see answer by Ave(106)

Question 694508: 2xssuared+x-6=0
Click here to see answer by checkley79(3341)

Question 694553: the sum of the square of an integer and 3 times itself is 54. find the two possible values of the integer.
Click here to see answer by Ave(106)

Question 694578: problem 1. SOLVE: 4x^2 - 5x -18 = 0
problem 2. FACTOR THE EXPRESSION - j^2 -3j -10
problem 3. FACTOR THE EXPRESSION - w^2 + 10w +16

Click here to see answer by lynnlo(4176)

Question 694585: is this true or false: 4^x*0=0
Click here to see answer by jim_thompson5910(35256)

Question 694589: solve by completing square x squared +2x-3=0

Click here to see answer by Ave(106)

Question 694546: Bob throws a ball vertically upward from the top of the cliff, the height of the ball above the base of the cliff is approximated by the model h = 6s + 10t- 5t ^2 where h is the height in metres and t is the time in seconds.
a) How high is the cliff?
b) How long does it take the ball to reach a height of 50 metres above the cliff?
c) After how many seconds does the ball hit the ground?
can you please help me out? I really don't understand. Thanks in advance :)
Click here to see answer by lynnlo(4176)

Question 694545: Bob throws a ball vertically upward from the top of the cliff, the height of the ball above the base of the cliff is approximated by the model h = 6s + 10t- 5t where h is the height in metres and t is the time in seconds.
a) How high is the cliff?
b) How long does it take the ball to reach a height of 50 metres above the cliff?
c) After how many seconds does the ball hit the ground?
can you please help me out? I really don't understand. Thanks in advance :)
Click here to see answer by lynnlo(4176)

Question 694541: The altitude of a triangle is 2 metres longer than its base what are the dimensions of the altitude and the base if the area of the triangle is 40 metres squared.
can you please help me I don't understand this. Thanks in advance :)
Click here to see answer by mananth(16946)

Question 694634: 9x^2-36x+36 factored
Click here to see answer by jim_thompson5910(35256)

Question 694643: Bob throws a ball vertically upward from the top of the cliff, the height of the ball above the base of the cliff is approximated by the model h = 6s + 10t- 5t ^2 where h is the height in metres and t is the time in seconds.
a) How high is the cliff?
b) How long does it take the ball to reach a height of 50 metres above the cliff?
c) After how many seconds does the ball hit the ground?
can you please help me out? I really don't understand can you go step by step. Thanks in advance :)
Click here to see answer by DrBeeee(684)

Question 694657: Bob throws a ball vertically upward from the top of the cliff, the height of the ball above the base of the cliff is approximated by the model h = 65 + 10t- 5t ^2 where h is the height in metres and t is the time in seconds.
a) How high is the cliff?
b) How long does it take the ball to reach a height of 50 metres above the cliff?
c) After how many seconds does the ball hit the ground?
can you please help me out? I really don't understand can you go step by step. Thanks in advance :)
Click here to see answer by nerdybill(7384)

Question 694718: solve the quadrtic equations by completeing the square, the square root property or quadratic formula.
a. (x+3)^2-81=0
b. 3x^2+5x=2
c. (x+1)(x-2)=18
d. 2x^2-4x+5=0
Click here to see answer by sachi(548)

Question 694777: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers.5/6 and 1/2
Click here to see answer by Ave(106)

Question 695021: The volume of a rectangular solid is 540 cubit feet. The width is 3 feet more than the height, and the lenght is 4 more feet than the height. Find the dimensions of the solid.
w=h+3
l=h+4
h= ?
540=(h+3)*(h+4)*h
540=h^3+7h^2+12h
How to resolve ?

Click here to see answer by KMST(5328)

Question 695143: In a two digit number , the digit at unit's place is equal to the square of the digit at tens place . If 54 is added to the number , the digit gets interchanged . Find the number.
Click here to see answer by pmatei(79)

Question 695374: How do I find the vertex and describe the meaning of 1/4u^2-25u+3500?
Click here to see answer by solver91311(24713)

Question 695402: I need help with my project I need to find out what is -3.-6 because questions like that just make me nervous sometimes!
Click here to see answer by solver91311(24713)

Question 695402: I need help with my project I need to find out what is -3.-6 because questions like that just make me nervous sometimes!
Click here to see answer by ReadingBoosters(3246)

Question 695571: 2x2 � 5x + 7 = 0 (1 point)
31; one, real
31; two, real
�31; one, imaginary
�31; two, imaginary
6. �3x2 + 14x � 8 = 0 (1 point)
100; one, real
100; two, real
196; one, real
196; two, real
7. 4x2 � 5x + 10 = 7x + 1 (1 point)
0; one, real
0; no real solutions
�135, one, imaginary
�135; two, imaginary

Click here to see answer by Alan3354(69443)

Question 695644: Please help me solve by completing the squares:

Click here to see answer by stanbon(75887)

Question 695635: Please help me complete these squares:
x^2 + 12x +
x^2 - 6x +
Click here to see answer by checkley79(3341)

Question 695678: find b if you happen to know the maximum y-value of the function y= -4x^2 + bx -1 is 21.
Click here to see answer by stanbon(75887)

Question 695760: (3x^2+17xy)-(12x^2-3xy)
I would appreciate if you showed me the steps. Thanks in advance.
Click here to see answer by jim_thompson5910(35256)

Question 695868: solve over the set of complex numbers
(x+5)^2=-36 (given)
if I work it out I get x^2-10x+61=0
but now what, it won't foil,
x^2-10x+25=-36
x^2-10x+25= -61+25 completing the square gets me right back where I started...
Click here to see answer by KMST(5328)

Question 695874: Please help me solve by completing the square:
x^2 + 15 x = -56
Click here to see answer by mouk(232)

Question 695875: Please help me use the quadratic formula to solve the following. Leave irrational roots in the simplest radical form.

Click here to see answer by ReadingBoosters(3246)

Question 695827: What is the solution of the linear quadratic system of equations?
y=x^2+10x+22
y=x+2
Click here to see answer by ReadingBoosters(3246)

Question 695911: Find the product of the solutions of this equation. 3x^2 - 12x + 7 = 0
Click here to see answer by ReadingBoosters(3246)

Question 696225: State the possible number of imaginary zeros of f(x) = 10x^3 - 4x^2 + 2x - 6.
Click here to see answer by solver91311(24713)

Question 696261: A jewellery store owner studied his past records and found that on the average if he sells x articles of in one week then his weekly profit, P(x)= $ can be calculated using the equation p(x) = 100x - 5x^2/3. What is his maximum weekly profit?
Can you please help me? Thanks so much in advance.
Click here to see answer by solver91311(24713)

Question 696259: Find the equation of parabola with a vertex at (2,-12) that passes through the point (0,0).
Can you please help me out? Thanks in advance.
Click here to see answer by solver91311(24713)

Question 696339: find positive square root of equation 4x^2+ 7x = 15 complete square
Solving a Quadratic Equation by Completing the Square
Click here to see answer by stanbon(75887)

Question 696339: find positive square root of equation 4x^2+ 7x = 15 complete square
Solving a Quadratic Equation by Completing the Square
Click here to see answer by josmiceli(19441)

Question 696339: find positive square root of equation 4x^2+ 7x = 15 complete square
Solving a Quadratic Equation by Completing the Square
Click here to see answer by Alan3354(69443)

Question 696422: Harry fires a rocket upward, which travels according to the equation, h(t)=-16t^2+725t where h(t) is the height of the rocket in feet t seconds after it's fired.
What is the height of the rocket after 5 seconds?
Click here to see answer by Alan3354(69443)

Question 696420: A man jumps off a diving board into a pool. The equation h(t)=16T^2 + 40 gives the height,in feet, the man is above the pool t seconds after he jumps.
a) how high above the pool is the diver after the first second?

b) how high is the diving board?
Click here to see answer by Alan3354(69443)

Question 696524: in a quadratic equation x^2 + px + q =0 if sum of its roots are equal to thrice of their difference then proove that
2p^2 = 9q
Click here to see answer by stanbon(75887)

Question 696524: in a quadratic equation x^2 + px + q =0 if sum of its roots are equal to thrice of their difference then proove that
2p^2 = 9q
Click here to see answer by Edwin McCravy(20054)

Question 696522: in a quadratic equation lx^2+nx+n=0 if ratio of roots is p:q then proof
(p/q)^(1/2) + (q/p)^(1/2) + (n/l)^(1/2) =0
Click here to see answer by Edwin McCravy(20054)

Question 696548: what is the value of m in the eq

so that the sum of the squares of the roots of the eq are minimum.....
Click here to see answer by darknez25(6)

Question 696464: y=(x-2)square+1
(x-3)square+(x-2)square=16
Click here to see answer by checkley79(3341)

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