Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 171941: you are given a polynomial equation and one or more of its roots. Find the remaining roots.
19. 2x^3 - 5x^2 - 4x + 3=0 ; root : x=3
please explain solutions
I would really appreciate any help
please help soon
Click here to see answer by stanbon(75887)

Question 171940: when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x)
Please explain step by step
I would really appreciate any help
please help soon!
Click here to see answer by stanbon(75887)

Question 171939: show that x-a is a factor of x^n - a^n for any positive integer n
could you please show step by step
I would really appreciate any help!
please help soon.
Click here to see answer by stanbon(75887)

Question 171935: tutors I really need you all to explain to me how to solve this problem
which of the following are factors of P(x)= x^3 - 5x^2 + 3x + 9
a. x-1
b. x+3
c. x-3
I would appreciate any help I can get!

Click here to see answer by edjones(8007)

Question 171930: suppose that an object is thrown into the air with an intial upward velocity of vo meters per second from a height ho meters above the ground. Then t seconds later, its height h(t) meters above the ground is modeled by the function
h(t)= -4.9 t^2 + vot + ho. (this model dosent' account for resistance)
given that information, the question is:
One half second after springing from a high diving board, a diver reaches her highest point above the water, 4.225 m. If the diving board is 3 meters above the water, how long is the diver in the air?
I would really appreciate any help I can recieve on this problem.
please help soon, thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 172064: use the quadratic formula to solve for this equation: 2a^2-46a+252=0
i dont get that can you please help :)
Click here to see answer by Alan3354(69443)

Question 172074: 5 the square root of 25x^7? i really dont get how to simplify
Click here to see answer by stanbon(75887)

Question 172073: how and when would you use the "discriminant"?
Click here to see answer by solver91311(24713)

Question 172071: 5 the square root of 25x^7
how do you simplify that?
Click here to see answer by Mathtut(3670)

Question 172085: 1. y>x^2-8x+17=

Click here to see answer by Alan3354(69443)

Question 172070: what is 11x^2=27 i dont really get how to do that
Click here to see answer by Alan3354(69443)

Question 172099: The height h in feet of an object after t seconds is given by the function
h = �16t� + 30t + 8.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Click here to see answer by solver91311(24713)

Question 172096: Solve by using the quadratic formula.
3x� = 11x + 4
3x^2-11x-4 11+/- squareroot (-11)^2-4(3)(-4)/2(3)
11+/- squareroot 121+48/6
11+/- 13/6
24/6= 4 or -2/6= -1/3

Click here to see answer by Difficulty(2)

Question 172095: Solve. x2 � 75 = 0

Click here to see answer by Alan3354(69443)

Question 172109: Here is the problem: y=-2x^2+8x-5
Here is what I tried:
h=-(8/2(-2))
-2(2)^2-8(2)-5
-8-16-5
...
This doesn't make sense, because the y value seems too large.
Am I doing this problem correctly?
Thanks!

Click here to see answer by Alan3354(69443)

Question 172108: -16t� + 30t + 8 = 0
Click here to see answer by Alan3354(69443)

Question 172103: how do you simplify the square root of 9x^5y^5/16x^6??
Click here to see answer by Mathtut(3670)

Question 172093: Solve by completing the square.
x2 � 2x � 63 = 0

Click here to see answer by Mathtut(3670)

Question 172100: 1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 6x - 7 = 0
b) z2 + z + 1 = 0
c) (3)1/2y2 - 4y - 7(3)1/2 = 0
d) 2x2 - 10x + 25 = 0
e) 2x2 - 6x + 5 = 0
f) s2 - 4s + 4 = 0
g) 5/6x2 - 7x - 6/5 = 0
h) 7a2 + 8a + 2 = 0
2. If x = 1 and x = -8, then form a quadratic equation.
3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.

Click here to see answer by solver91311(24713)

Question 172163: 7a2 + 8a + 2 = 0 I have done most of the problems and this is the last one can you help me please....
Click here to see answer by jim_thompson5910(35256)

Question 171929: suppose that an object is thrown into the air with an intial upward velocity of vo meters per second from a height ho meters above the ground. Then t seconds later, its height h(t) meters above the ground is modeled by the function h(t)= -4.9 t^2 + vot + ho. (this model dosent' account for resistance)

if a stone is thrown with an upward velocity of 14 m/s from a cliff 30 meters high
I answered part a which asked:
a. find its height above the ground t seconds later.
h(t)= -4.9t^2 + 14 t + 30
I don't understand part b or c
b. when will the stone reach it's highest elevation
c.when will the stone hit the ground?
I would really appreciate any help I can recieve.
Thank you very much
please help soon!
Click here to see answer by ankor@dixie-net.com(22740)

Question 172191: please help me solve this equation:
Click here to see answer by jim_thompson5910(35256)

Question 172246: Find the x-intercepts.
y = x^2 + 4x - 1
Click here to see answer by KnightOwlTutor(293)

Question 172320: Solve using the quadratic formula: 25x^2+30x+9=0
I do not understand this at all, please help :)
Click here to see answer by Alan3354(69443)

Question 172398: please help me I can up with three crazy answers.
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
also can you show me how to check the answer after solving the problem.

Click here to see answer by jim_thompson5910(35256)

Question 172405: Find the x-intercepts. y = x2 + 3x � 10

Click here to see answer by jim_thompson5910(35256)

Question 172409: What is the equation y=x^-14x+50 in vertex form and what is the vertex?
Click here to see answer by jim_thompson5910(35256)

Question 172402: I need someone help I'm totally stuck. please please help. Thank you.
What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by user_dude2008(1862)

Question 172418: 3x^2+2x=-5-4x

Click here to see answer by jim_thompson5910(35256)

Question 172399: please help me I'm coming up with crazy answer.
Determine whether the following equations have a solution or not? Justify your answer.
(3)1/2y2 - 4y - 7(3)1/2 = 0

thank you in advance.
Click here to see answer by jim_thompson5910(35256)

Question 172423: solve by factoring alg 2
6x^2-24=0
Click here to see answer by jim_thompson5910(35256)

Question 172428: Find the vertex. y = x2 � 20x + 4

Click here to see answer by jim_thompson5910(35256)

Question 172430: Is this trinomial a perfect square? x2 � 12x + 36
Please show work as to how it is or isn't.

Click here to see answer by Earlsdon(6294)

Question 172419: can you help me i have test questions tomorrow and need to know how to do this
solve by factoring.
x^2-18x+32=0
Click here to see answer by jim_thompson5910(35256)

Question 172427: tutors i need help with alg 2 i have a 72 in the class because i couple bad test scores and my teacher gave us the questions from the test so can you please help me
i need to know how to find the intercept , find the vertex and graph it in t chart form every time i do the chart it doesnt look right
the problem is y=2(x+4)(x+2)
Click here to see answer by Earlsdon(6294)

Question 172425: HELP!!
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.

Click here to see answer by praseenakos@yahoo.com(507)

Question 172406: The base of a 15-ft ladder is 8 feet away from the wall. How far above the floor is the top of the ladder? Give answer to the nearest thousandth.

Click here to see answer by Alan3354(69443)

Question 172517: Question provided by co-worker I'm trying to help...
Given the equation
x^2 + 6sqrt2x + y^2 - 4sqrt5y = 3
complete the square for both x and y and find the equation of the circle.
A. (x + 3sqrt2)^2 + (y - 2sqrt5)^2 = 13
B. (x + 3sqrt2)^2 + (y - 2sqrt5)^2 = 35
C. (x + 3sqrt2)^2 + (y - 2sqrt5)^2 = 38
D. (x + 3sqrt2)^2 + (y - 2sqrt5)^2 = 10
I can usually help her figure things out, or we at least muddle through them together. It's been so long, though, that I'm lost on this on.
I thank you, and she thanks you.
Click here to see answer by stanbon(75887)

Question 172401: I need someone help I'm totally stuck. please please help. Thank you.
What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by Mathtut(3670)

Question 172556: I have a question im having real trouble with so i could use some help badly its a 2 part question
Suppose the height of this motorcycle is modeled by H=-20t + 45+ where t is the amount of time in secounds since he started his jump
use a graph to help you find the maximum height
Use the quadratic formula to determine how long he was in the air
Click here to see answer by Alan3354(69443)

Question 172502: you have a 1200 foot roll of fencing and a large field. You want to make 2 paddlocks by splitting a rectangle enclosure in half. What are the dimensions of the largest such enclosure
Click here to see answer by josmiceli(19441)

Question 172620: F(X) = 3X^2 - 4X -1
Find the zeros of the function?
Click here to see answer by stanbon(75887)

Question 172648: how do you solve the equation X^2 +2x-3
Click here to see answer by jim_thompson5910(35256)

Question 172648: how do you solve the equation X^2 +2x-3
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