Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 37875: the length of a rectangle is 3 feet less than twice the width. If the area is 77 sq feet, then solve a quadratic equation to find the length and width.
Click here to see answer by fractalier(2101)

Question 37765: 4. Find the solution set for the following equation. Check for extraneous solutions:

Square root of 8 - 7x = -2(x + 1)
Click here to see answer by fractalier(2101)

Question 37878: In a right triangle, if the legs are x feet and 3x+3 feet, and the hypotenuse is 25 feet, then solve for x by using the quadratic formula.
Click here to see answer by fractalier(2101)

Question 37970: can some one please help me with this problem??
Solve the quadratic equation.
5t^2=240
Click here to see answer by sonimyke(4)

Question 37968: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0"
(x^2)+3kx-(10k^2)=0
Click here to see answer by Earlsdon(6294)

Question 38035: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0."
(x^2)+4kx=0.
Click here to see answer by stanbon(57967)

Question 37768: 6. For the quadratic function y = -2x^2 + 8x + 1:
a. What are the coordinates (values of x and y) at the vertex of the parabola
b. Does this parabola open upward or downward? Explain.
Click here to see answer by fractalier(2101)

Question 38203: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0"
(x^2)-4x-21=0
Click here to see answer by fractalier(2101)

Question 38209: Solve the radical equation.
6 SQRT of x = x+5
Click here to see answer by fractalier(2101)

Question 38221: Gail is a srever at a restaurant. ON saturday Gail gets up at 6.30.a.m, atrats work at x a.m & finishes at x p.m. How long does Gail work on saturday?
Click here to see answer by fractalier(2101)

Question 38233: Find the nth term formula for the geometric sequence whose first term is 4 and whose common ratio is -3.

Click here to see answer by Nate(3500)

Question 38237: Find the nth term formula for the geometric sequence whose first term is 18 and whose second term is 9.

Click here to see answer by stanbon(57967)

Question 38292: In class, we are learning how to use quadratic techniques to solve polynomial equations. I understand this, but in the homework there is two problems that have negative problems. I could not figure out how to do this. For example, here is one of the problems:
y^(-1)-8y^(-1/2)+12=0
I have tried many ways to do this, but can't figure it out. Thank you so much. I look forward to your replay so that I may understand how to do the other problems.
Click here to see answer by ilana(307)

Question 38318: A golf ball is hit into the air. The path of the ball can be described by the equation h=70t-5t(squared) where h is the height of the ball in meters and t is the time in seconds.
A. how high is the ball after 3 seconds
B. after how many seconds will the ball be 169 meters high
C. when will the ball hit the ground?
~Thanx,
Steve
Click here to see answer by Nate(3500)

Question 38286: Please help me graph and showing the steps to this equation
Click here to see answer by josmiceli(9817)

Question 38351: State the quadratic formula and hence solve x(x+3) = 6x + 2
Please show your working out, and thank you in advance for your help
Click here to see answer by AnlytcPhil(1278)

Question 38389: What is the largest rectangular area that can be enclosed with 30 feet of fencing? I need the dimensions.
Click here to see answer by fractalier(2101)

Question 38358: I just can't get the following problem from my Algebra book:
A rocket is launched from atop a 77-foot cliff with an initial velocity of 82 feet per second. The height of the rocket t seconds after launch is given by the equation h=-16t^2+82t+77. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate your answer to the nearest tenth of a second.

Click here to see answer by Nate(3500)

Question 36224: 1) How do you compute the intercepts of a quadratic function?
Click here to see answer by fractalier(2101)

Question 38438: Find x if Xsquared= 2x+5
Click here to see answer by fractalier(2101)

Question 38514:

are my steps right? if not, can you please correct it for me

Click here to see answer by Nate(3500)

Question 38516: i know this is easy but i dont get it, how to do when there are fraction
Click here to see answer by Nate(3500)

Question 38560: I need your help to solve this problem and also what are the steps to solve this problem.
The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the lenth of the shorter leg. Find the number of feet in length of each side of the right triangle.

Click here to see answer by fractalier(2101)

Question 38062: I need to find the common denominator in this formula:

6/4x squared times 2/5x
Click here to see answer by rapaljer(4667)

Question 38608: Solve the equation:
(w - 4)^2 = 2w^2 - 6w + 1 solve for w
Click here to see answer by lyra(94)

Question 38607: Solve the equation to find all possible values of y:
2y^2 + 8y + 1 = (y + 3)^2
Click here to see answer by lyra(94)

Question 38606: Solve to find all the roots of the following equation:
4w^2 = -2w + 6
Click here to see answer by checkley71(8403)

Question 38605: Find the roots of the quadratic equation:
z^2 + 5z - 14 = 0
Click here to see answer by checkley71(8403)

Question 38622: find the condition that the root of the equation ax^2+bx+c=0 may be in the ratio m:n
Click here to see answer by venugopalramana(3286)

Question 38642: Sketch the graph of the function y = 3 - 3x2. Label all intercepts.

Click here to see answer by Nate(3500)

Question 35874: Use the quadratic formula to find the exact solution

Click here to see answer by Nate(3500)

Question 38728: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
-2x^2 - 3x - 4 = 0
Click here to see answer by Paul(988)

Question 38733: Graph the parabola:
y = (x-4)^2 - 2
Click here to see answer by Nate(3500)

Question 38755: solving quadratic functions of the form f(x)=a(x-h)2+k....(that 2 is a squared)
i know how to get the value of a,h,k, but i dont know what they mean when they say choose some values for x. in example 1 they have 7 values for x, but in example 2 they have 5 values for x.... so how do you know how many numbers to chose forthe value of x?
Click here to see answer by venugopalramana(3286)

Question 38939: Find the irrational roots of the equation x^3-4x^2+2x+1=0
Click here to see answer by stanbon(57967)

Question 38939: Find the irrational roots of the equation x^3-4x^2+2x+1=0
Click here to see answer by fractalier(2101)

Question 38943: Solve using the quadratic formula

I need help on these also it looks like this on the paper
Solve. Express irrational solutions in simplest radical form.

Click here to see answer by Nate(3500)

Question 39025: Solve the following equation for x by using the quadratic formula:
2x^2 + 8x + 3 = 0
Click here to see answer by stanbon(57967)

Question 39027: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0
Click here to see answer by stanbon(57967)

Question 39029: Graph the solution to the quadratic inequality:
-x^2 -4x is equal to or >4.
Click here to see answer by fractalier(2101)

Question 39002: x varies directly as the square of s, and inversely as t. How does x change when s is doubled? When both s and t are doubled, how does x change?
Click here to see answer by fractalier(2101)

Question 38732: Graph the solution to the quadratic inequality:
-x^2 - 4x equal to or greater than 4
Click here to see answer by fractalier(2101)

Question 38727: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0
Click here to see answer by fractalier(2101)

Question 39164: The sum of 2 numbers is 25. The sum of their squares is 313. Find the two numbers...thank you!
Click here to see answer by Nate(3500)

Question 39164: The sum of 2 numbers is 25. The sum of their squares is 313. Find the two numbers...thank you!
Click here to see answer by AnlytcPhil(1278)

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