Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 536598: The instructions say solve each equation by factoring, by taking square roots, or by graphing. When necessary,round your answer to the nearest hundredth.
The first problem is x^2-18x-40=0
Click here to see answer by Alan3354(30993)

Question 536619: using the quadratic formula x=[-b(+-)sqrt(b^2-4ac)]/2a
solve quadratic equation
x^2 -5 = 0
Click here to see answer by jim_thompson5910(28593)

Question 536618: The population of fruit flies,p,after day from the first mating of ten flies is given by the function p(n)=0.08x^2+0.11x. Find the population of fruit flies after.
Click here to see answer by fcabanski(874)

Question 536670: x^2-14x+48<0
The answer choices are: A (4,12), B (6,8), C (-infinity,6) U (8, infinity), D (-infinity,6] U [8, infinity)
Click here to see answer by KMST(1868)

Question 536716: Over a distance of 240km, the average speed of a train is 20km/h faster than that of a car. It takes the car 30 minutes longer to cover the same distance. What is the speed of the car and the speed of the train?
Thank you for any help:)
Click here to see answer by mananth(12270)

Question 536715: Two cyclists leave the same place at the same time but travel in different directions and at different speeds. Cyclists A travels north at a constant speed off x km/h. Cyclist B travels east at a speed 5km/h more than cyclist A. After 1 hour, the cyclists are 37km apart. At what speed is cyclist A traveling?
Thank you:)
Click here to see answer by mananth(12270)

Question 536708: Mary makes a round trip of 150 km each way. Coming back Mary was able to average 25 km per hour faster than she had going. If the total trip took three and a half hours, then what was Mary's speed coming back?
Thank you in advance:)
Click here to see answer by mananth(12270)

Question 536713: A storeowner buys a quantity of tennis ball for $600. If they had each cost $0.25 less, she would have had 10 more for the same money. How much did she pay for each ball?
Thanks:)
Click here to see answer by josmiceli(9671)

Question 536711: If a bus traveled 10km/h faster, it would take 2 hours less time to make a 315km trip. What is its speed?
Thanks for any help:)
Click here to see answer by ankor@dixie-net.com(15649)

Question 536912: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the standard form, ax^2+bx+c=0
Solutions are negative sign (Sqrt) 10, 5 (sqrt) 10. so it would be 5 space square root sign and negative sign space square root sign). I am totally lost on this one. I have no idea how to even begin....
Click here to see answer by richard1234(5390)

Question 536504: One of the roots of the quadratic equation ax2+bx+c=0 is twice the other.Show that 2b2=9ac

Click here to see answer by richard1234(5390)

Question 536915: The performance of a certain stock can be modeled by the equation d(t)=2000(1.2)^t. If (d)t is the amount of money the stock is currently worth, and t is the time in the years after the initial investment, how has the value of the stock changed after 24 months?
(A) It has decreased by $2880.
(B) It has decreased by $120.
(C) It has increased by $400.
(D) It has increased by $880.
(E) It has increased by $2880.
Click here to see answer by fcabanski(874)

Question 536976: state the value of the discriminant, then describe the nature of the solution of 9x^2-4x+6=0
Click here to see answer by jim_thompson5910(28593)

Question 537021: How do you determine where the solutions are when looking at a graph of a quadratic equation?
Thank you!
Click here to see answer by lwsshak3(6494)

Question 537156: A+Bi
(-5+2i)+(14-3i)
Click here to see answer by jim_thompson5910(28593)

Question 537157: A+Bi
(28+7i)-(-3+5i)
Click here to see answer by jim_thompson5910(28593)

Question 537287: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. (Use x as the variable.)
9 and 1
Click here to see answer by jim_thompson5910(28593)

Question 537452: x^2-7x-60 ???
Click here to see answer by algebrahouse.com(1079)

Question 537452: x^2-7x-60 ???
Click here to see answer by stanbon(57323)

Question 537392: i need help with these problem i have been doing them for days and they are giving me a headache i hope that this isn't to much to ask for. I am problem by factoring.
1. 3a^2+a=a^2+10a+11
2.n(n+3)=70
3.b(5b-4)=12
4.4t^2-9+16=15-4t^2
5.(2k+4)(2k+9)=3^2+11k
6.5+6y(y+2)=5y+8
7.(m-3)^2=64
I know these are a lot of problem but i really tried to solving them and now I'm just giving up. I understand if you don't answer them all and again thank you every much.
Click here to see answer by ankor@dixie-net.com(15649)

Question 537483: 4x + 8y = 7 3x + 4y = 6
Click here to see answer by mananth(12270)

Question 537565: how do you express N=(t^2-t)/2 as a quadratic expression Thank you
Click here to see answer by fcabanski(874)

Question 537594: B^2-12b+27=0
Click here to see answer by Tatiana_Stebko(1326)

Question 537580: I am having the hardest time with this. Solve by the method of your choice:
(1/x^2-3x+2)=(1/x+2)+(5/x^2-4)
I have tried this different ways and just cant figure it out.
Click here to see answer by bucky(2189)

Question 538030: Solve equation by taking square roots.
2x^2 - 7 = 59
Click here to see answer by oberobic(2304)

Question 538092: Use the quadratic formula to find the exact solutions.
x2 - 14x + 74 = 0
Click here to see answer by jim_thompson5910(28593)

Question 538060: solve by taking square roots.
9n^2+3=228
Click here to see answer by mananth(12270)

Question 538060: solve by taking square roots.
9n^2+3=228
Click here to see answer by MathTherapy(1423)

Question 538799: Please help me with this word problem. The area of a square is 529 square centimeters. How long is each side of the square?
Click here to see answer by ankor@dixie-net.com(15649)

Question 539040: 6-4x-3x²=0
please help me im stuck with this equation
Thank you!

Click here to see answer by raffyral5(3)

Question 539114: m+3/7=2/3-m
Click here to see answer by Mathpassionate(25)

Question 539218: Solve (4 answers are : -1/2,1/2,-isqrt(3),isqrt(3))
4x^4+11x^2=3
The answers are above I just do not get the steps. Thanks !

Click here to see answer by stanbon(57323)

Question 539051: x^3+ 5x^2 -6x -30=0
How do you solve this? please help me!!!!
This is confusing!

Click here to see answer by stanbon(57323)

Question 539152: What is the minimum value of the function y = 3x2 + 2x – 8?
and
The equation h = 40t – 16t2 describes the height h, in feet, of a ball that is thrown straight up as a function of the time t, in seconds, that the ball has been in the air. At what time does the ball reach its maximum height? What is the maximum height?
Click here to see answer by stanbon(57323)

Question 539021: factorize
6x to the fourth power minus 3x
2x to the fourth power minus 2x
Click here to see answer by stanbon(57323)

Question 539270: What are the x– and y–intercepts of the quadratic equation y = x^2 + 2x – 3?
Click here to see answer by htmentor(789)

Question 539269: Which of the following is the equation of the axis of symmetry of the quadratic equation y = 2(x – 4)2 + 7?

Click here to see answer by Alan3354(30993)

Question 539616: solve by using quadratic formula
5.2x^2+5x-3=0
6.5x^2+3x-2=0
7.b^2-4ac is called the _____
Click here to see answer by oberobic(2304)

Question 539715: I need help solving a quadratic equation.
The area of a field shaped like a right triangle is 600m2 ( squared). The legs of the field are fenced with steel at $10/m, while the hypotenuse is fenced with aluminum at $20/m. The perimeter of the field is 120m. The total cost of the fencing is $1700.
A. What is the length of each side of fence with steel?
B. what is the length of the side of the fence with aluminum?
Here's what I've tried:
xy/2= 600m2
x+y+z= 120
10x + 10y + 20z = $1700 or x+ y + 2z = $170
Not sure how to get rid of one of the variables.
Would greatly appreciate your assistance.
Daniel
Click here to see answer by mananth(12270)

Question 540071: How do I translate this into an equation that I can solve?

The sum of two numbers is 50. Find the numbers such that their product is a maximum.
Click here to see answer by richard1234(5390)

Question 540037: I have two questions both on quadratic equations. I am not understanding how to do them. The first one says to write it in standard quadratic form. The solutions are
negative sign sqrt 5, and 4 sqrt 5.
The second one says to find the solution(s).
w^4-20w^2-2=0.
If you could help with either of these I would greatly appriciate it.
Thanks so much!
Click here to see answer by ankor@dixie-net.com(15649)

Question 540200: please help me solve this equation: x^2+6x+41=0
Click here to see answer by jim_thompson5910(28593)

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, 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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