Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 353792: Solve x^2+7x-10=0

what are the solutions for x?
Click here to see answer by mananth(16946) About Me 
Question 353827: A man deposited $2000 in a savings bank paying him a certain interest. At the end of the year he withdraw $150. At the end of the second year the amount dew to him was $1947.50. What was the rate of interest?
Click here to see answer by mananth(16946) About Me 
Question 353839: solve for r
r^2+3r=6
type an exact answer using radicals as needed
Click here to see answer by Alan3354(69443) About Me 
Question 353840: Leah and Gellie can finish a project in 4 hours if they worked together. If it would take Leah 6 hours more than Gellie to finish the project alone, how long would Leah need to finish the project working alone? (Show your solution using Quadratic Equation)
Click here to see answer by stanbon(75887) About Me 
Question 353838: Solve for X

x^2+12x+4=0
Click here to see answer by Alan3354(69443) About Me 
Question 353843: Find the area of a right triangle whose legs have lengths which differ by 7 meters and whose hypotenuse is 17 meters long. (Show your solution using Quadratic Equation)
Click here to see answer by nerdybill(7384) About Me 
Question 353837: Solve a) x^2+7x-10=0

b)find the x intercepts of f(x)=x^2+7x-10

type exact answers using radicals as needed. rationalize all denonminators.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 353828: A stone was dropped over the edge of a cliff, and 8 seconds later, its sound of striking the ground was heard. How high is the cliff, if the velocity of sound is 1120 feet per second?
Click here to see answer by josmiceli(19441) About Me 
Question 353842: The length of a rectangle is 5 times its width. The area is 86 square meters. Find the length of the rectangle. (Show your solution using Quadratic Equation)
Click here to see answer by ewatrrr(24785) About Me 
Question 353882: 1. A rectangle has a perimeter of 100 feet. Express its area in terms of one of its sides, x.
Click here to see answer by ewatrrr(24785) About Me 
Question 353894: I have a hard exponent quadratic question.
5x^2/3 + 2x^4/3 -13 =0
My first inclination was to rearrange the terms to...
2x^4/3 + 5x^2/3 -13 =0
This puts it in the right order for substitution / y= x^2/3
Thus... 2y^2 + 5y -13 =0
This is where I'm stuck. I don't know how to unfold the answer with the unusual powers.
Thanks for your help.
Neil
Click here to see answer by Earlsdon(6294) About Me 
Question 353894: I have a hard exponent quadratic question.
5x^2/3 + 2x^4/3 -13 =0
My first inclination was to rearrange the terms to...
2x^4/3 + 5x^2/3 -13 =0
This puts it in the right order for substitution / y= x^2/3
Thus... 2y^2 + 5y -13 =0
This is where I'm stuck. I don't know how to unfold the answer with the unusual powers.
Thanks for your help.
Neil
Click here to see answer by Alan3354(69443) About Me 
Question 353894: I have a hard exponent quadratic question.
5x^2/3 + 2x^4/3 -13 =0
My first inclination was to rearrange the terms to...
2x^4/3 + 5x^2/3 -13 =0
This puts it in the right order for substitution / y= x^2/3
Thus... 2y^2 + 5y -13 =0
This is where I'm stuck. I don't know how to unfold the answer with the unusual powers.
Thanks for your help.
Neil
Click here to see answer by ewatrrr(24785) About Me 
Question 353887: I have a problem that are driving me crazy. The problem has a quadratic solution, but for the life of me I can't figure it out. Please help!
5(3x-4)^6 + 7(3x-4)^3 -23 =0
I set it up by substitution / y= (3x-4)^3
This gives me the form 5y^2 + 7y -13 =0
My problem is not knowing how to "unfold" the problem after I've done the alternate equation.
Thanks for your help
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353963: I'm a little confused on how to work this one...
4x^4 - 12x^2 - 19 = 0
I use subtitution of y = x^2 giving me
4y^2 - 12y - 19 = 0
My answers are y = 4.145751311 and -1.145751311
Now I'm not sure what to do from here.
Thanks a lot for your help!
Neil
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353969: Earlier I asked for help to solve this.
5(3x-4)^6 + 7(3x-4)^3 -23 = 0
The tutor sent back an answer I don't know how to punch into my calculator to get the real number. The form they sent was not in whole number form, but in a form I don't know how to even punch in my calculator yet. Any further help would be great!
Neil
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353999: A market vendor sold some goods for $72. His gain per cent was equal to one third of the cost of the goods in pesos. What was the cost of the goods?
Click here to see answer by rfer(16322) About Me 
Question 354049: Solve for x
2(x-4)-(x+2)=(x+2)(x-4)

use a comma to separate answers as needed
Click here to see answer by mananth(16946) About Me 
Question 354053: give exact and approximate solutions to three decimal places.
x^2+7x-3=0

the exact solutions are x=
Click here to see answer by sofiyac(983) About Me 
Question 354051: solve for x
1/x + 1/x+16 = 1/15
Click here to see answer by sofiyac(983) About Me 
Question 354048: a) Solve 3x^2-5x-11=0

b) Find the x intercepts of f(x)=3x^2-5x-11

type exact answers using radicals as needed
Click here to see answer by sofiyac(983) About Me 
Question 354218: What are the solutions of the equation (2x - 7)( x + 10) = 0 ?
A -3.5 and 10
B 7 and –10
C 2/7 and –10
D 3.5 and -10
Click here to see answer by ewatrrr(24785) About Me 
Question 354305: I need to factor 25c^2+1-10c
This is what I've tried, but I'm just lost.
25c^2-10c+1=0
25c^2-5c-5c+1
(25c^2+1)(-5c-5c)
(5c+1)(5c+1)-10c
I don't think this is right. Please help me find what I'm doing wrong.
Click here to see answer by Earlsdon(6294) About Me 
Question 354318: I am supposed to find all #s for which rational expression is unidentified.
(q^3-6q)/(q^2-9)
I got q(q^2-6)/(q+3)(q-3). Is this right? Does it mean the solutions that are unidentified are 3 and -3?? Because they would make the denominator zero?
Click here to see answer by scott8148(6628) About Me 
Question 354585: If I throw a quarter from a balcony 78ft up and its travels 10 ft/sec how do I solve the equation s=-16^2+tv+k with t=seconds, v=velocity ft/sec, and k=height in ft?
Click here to see answer by Alan3354(69443) About Me 
Question 354666: Using the quadratic equation, -6x^2+7x-14=0
Click here to see answer by ichudov(507) About Me 
Question 354730: We have been working on factoring trinomials and the problem I don't know how to solve is (x^2+4x-4)^2=64. I think what we're supposed to do is divide the exponent off both sides but I'm not sure. Were I get stuck is you're left with x^2+4x-4 on one side and that doesn't facter into two binomials. HELP ME!
Click here to see answer by scott8148(6628) About Me 
Question 354730: We have been working on factoring trinomials and the problem I don't know how to solve is (x^2+4x-4)^2=64. I think what we're supposed to do is divide the exponent off both sides but I'm not sure. Were I get stuck is you're left with x^2+4x-4 on one side and that doesn't facter into two binomials. HELP ME!
Click here to see answer by Edwin McCravy(20054) About Me 
Question 354990: Solve x^2+x+1=0
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355000: I need to solve the equation by completing the square. The following is my work but I get the wrong answer. Please let me know where I went wrong.
x^2 - 6x +3 = 0
x^2 -6x = -3
x^2 -6x -3^2 = -3-3^2
x^2 - 6x = -12
(x-6)^2 = sqrt -12
x-6 = sqrt -12
x=6+sqrt -12 and x = 6 - sqrt-12
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355005: factoring a quadratic with leading coefficent
w^2-7w+12
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355007: Hello! I am trying to solve a problem and not sure if its correct. The equation is y= 5x%5E2%2B10x%2B7. I must write the quadratic equation into vertex form and find the vertex.
What I did was factor out the 5 from the equation. So the result would be y=5%28x%5E2%2B2x%29%2B7. To complete the perfect square trinomial, I made the equation y=5%28x%5E2%2B2x%2B1%29%2B7 or 5%28x%2B1%29%5E2%2B7 adding 1 to both sides. Moving the constants to one side the equation came out to be y= 5%28x%2B1%29%5E2%2B6 leaving the vertex to be (-1,6).
Is this correct?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355007: Hello! I am trying to solve a problem and not sure if its correct. The equation is y= 5x%5E2%2B10x%2B7. I must write the quadratic equation into vertex form and find the vertex.
What I did was factor out the 5 from the equation. So the result would be y=5%28x%5E2%2B2x%29%2B7. To complete the perfect square trinomial, I made the equation y=5%28x%5E2%2B2x%2B1%29%2B7 or 5%28x%2B1%29%5E2%2B7 adding 1 to both sides. Moving the constants to one side the equation came out to be y= 5%28x%2B1%29%5E2%2B6 leaving the vertex to be (-1,6).
Is this correct?
Click here to see answer by stanbon(75887) About Me 
Question 355036: factoring a quadratic with leading coefficient
x^2-11x+30
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355091: im really stuck on this question
the roots of the quadratic equation x^2 + 4x - a= 0 are b+1 and b-3. Find the values of a and b.
thnks :)

Click here to see answer by jsmallt9(3758) About Me 
Question 355148: y=x^2-x-23 find the vertex
Click here to see answer by nyc_function(2741) About Me 
Question 355148: y=x^2-x-23 find the vertex
Click here to see answer by checkley77(12844) About Me 
Question 355143: find -intercepts -vertex -max or min -range
g(x)=x^2-6x+5
Click here to see answer by ewatrrr(24785) About Me 
Question 355230: (x(squared)-6x)=(1/2x+42)
Click here to see answer by ewatrrr(24785) About Me 
Question 355341: A quadratic function has an axis of symmetry of x=4, a y-intercept of 33 and also passes through the point, P(5,3). Write the equation of this function in the form of y=ax^2+bx+c.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 355411: x^2 - 9x - 38 = -9 by completing the square
Click here to see answer by checkley77(12844) About Me 
Question 355495: Hi, I'm being asked to solve for x by completing the square:
-2x^2 + 12x - 6 = 0
-2x^2 + 12x = 6 < I moved the 6 to the other side
x^2 - 6x = -3 < I divided everything by -2 to get the x^2 by itself
x^2 - 6x + 9 = 6 < I took half of the coefficient 6 (6/2 = -3), squared
it (9), and added it to both sides of the equation
This is where I get stuck. I'm supposed to write the left side in squared form, but because there is a plus and minus, it wouldn't be just one factor squared. Would I write this as (x-3)(x+3)? If so, how would I take the square root of that?
Thanks for any guidance you can provide!
Click here to see answer by scott8148(6628) About Me 
Question 355547: Can you please help me with this problem and the steps I need to take to resolve
x^2-6x-10=0
THanks
Click here to see answer by jim_thompson5910(35256) About Me 
Question 355587: 9.yto the power 4 +20 = 29 y square
Click here to see answer by mananth(16946) About Me 
Question 355717: please help me..
this is the problem given to us..
we need to have this in quadratic equation..
THE SUM OF THE TWO NUMBERS IS 18 AND THE TOTAL OF THEIR SQUARES IS 170.WHAT ARE THE NUMBERS?
THANK YOU.:)
Click here to see answer by Fombitz(32388) About Me 
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