Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 372487: I need to use quadratic equations to find two real numbers that satisfy the sum of 15 and the product 36
Click here to see answer by amoresroy(333)

Question 372492: Please help me solve this equation
Click here to see answer by Fombitz(13828)

Question 372494: Please me solve this question
Click here to see answer by Fombitz(13828)

Question 372496: Please help me with this equation
Click here to see answer by Fombitz(13828)

Question 372559: How to solve the quadratic equation for x by factoring?
For Instance, 6x^2 + 3x = 0
Click here to see answer by CharlesG2(828)

Question 372585: Compute the value of the discriminant and give the number of real solutions to the quadratic equation.
-2x^2+3x+1=0
discriminant=
number of real numbers =
Click here to see answer by Fombitz(13828)

Question 372514: Use the quadratic formula to solve x2 + 8x + 9 = 0.
Estimate irrational solutions to the nearest tenth.

Click here to see answer by Fombitz(13828)

Question 372622: Determine the coordinates of the x-intercepts for the quadratic equation 4x2 – 3x - 1 = 0.
Click here to see answer by ewatrrr(10682)

Question 372621: Determine the coordinates of the x-intercepts for the quadratic equation 5x2 – 21x + 4 = 0.
Click here to see answer by ewatrrr(10682)

Question 372615: Determine the coordinates of the x-intercepts for the quadratic equation 6x2 - 7x + 2 = 0.
Click here to see answer by ewatrrr(10682)

Question 372626: The product of twenty less than eight times a number and thirty less than two times a number equals zero. Find the number(s).
Click here to see answer by Fombitz(13828)

Question 372664: The Length of a rectangular flower bed is 3 times the width. The area of the bed is 108 square meters. What are the dimensions of the bed?
Please Help me. Thank You
Click here to see answer by checkley79(3056)

Question 372627: A basketball was thrown from one end of a court to the other. It had an initial upward velocity of 48 feet per second. How long did it take for the ball to hit the ground? Use the formula h = vt – 16t2.
Click here to see answer by Fombitz(13828)

Question 372769: 15. Which two lines are parallel?

I. 5y= -3x-5
II. 5y= -1 - 3x
III. 3y- 2x= -1

(1 point)
Click here to see answer by Alan3354(31518)

Question 372797: Jack wanted to throw an apple to Lauren, who was on a balcony 40 feet above him, so he tossed it upward with an initial speed of 56 ft/s. Lauren missed it on the way up, but then caught it on the way down. How long was the apple in the air?
Would I use the equation h(t) = -16t^2 + 56t +40? (where h = height and t = time) I'm not very good at solving quadratic word problems :(
Click here to see answer by nerdybill(7003)

Question 372841: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!!
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 11y = 34.5
9x – 7y = -16.5
Click here to see answer by josmiceli(9817)

Question 372900: X^2+18=9x
Click here to see answer by mananth(12270)

Question 372800: The number of miles, M, that a car can travel on a gallon of gas during a trip depends on the average speed, v, of the car on the trip according to the model M = -.011v^2 + 1.3v. Find the average speed that will minimize the costs for a trip. A person wants to take a 1900 mile trip in the car and wants to spend less than $55 for gas. If gas costs $1.10, how fast can the person drive?
Click here to see answer by ankor@dixie-net.com(15746)

Question 372988:
To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $16,681.66. What were the amounts of the two loans?
Click here to see answer by mananth(12270)

Question 373088: please show the steps to solve this: 11-p=19 thanks!
Click here to see answer by prince tayem(3)

Question 373088: please show the steps to solve this: 11-p=19 thanks!
Click here to see answer by amoresroy(333)

Question 373133: I have to do a project and find two irrational solutions of:
4x^2+bx+25
The project also tells us to solve for: two imaginary solutions, two rational solutions, and one rational solution too, and the only one I solved was the one rational solution.
can you please help! I am completely stumped!
Thank you for your help :)
Click here to see answer by Fombitz(13828)

Question 373177: Write a quadratic equation for which the following are solution for x: 7 and -3.
Click here to see answer by Fombitz(13828)

Question 373397: How do you find the vertex, axis of symmetry, minimum or maximum value of a quadratic function?
Click here to see answer by kac123kac(8)

Question 373451: The range of this equation -20x(squared)+10x+6
Click here to see answer by fractalier(2101)

Question 373414: how do you find the (a) quantity from a graph that has the vertex at 4,0 and the y intercept at 200
Click here to see answer by scott8148(6628)

Question 373661: I need to solve these quadratic equations using the method that came from India. I am confused.
The sample problem is:
xsquared + 3x -10 = 0
The solution reads as follows, but I do not understand it.
x squared + 3x = 10
4x squared + 12x = 40
4x squared + 12x +9 = 40 + 9
4x squared + 12x +9 = 49
2x + 3 = +-7
2x + 3 = 7
2x = 4
x = 2
and
2x + 3 = -7
2x = -10
x = -5
Is there anyway you can explain this method to me? I do not understand where the x squared turned into the 4x squared and where the 12x went later in the problem. Thank you in advance for your help.
Click here to see answer by solver91311(17077)

Question 373705: How to solve 2x^2 + 7 = 61 and 5z^2-200 = 0
Thank you very much
Click here to see answer by ewatrrr(10682)

Question 373715: using the discriminant, how many times does the graph of this equation cross the x-axis?
2x^2+6x-3=0
im not looking for the answer just explain the steps please?
Click here to see answer by Fombitz(13828)

Question 373739: at^2+bt+c=0
Click here to see answer by Fombitz(13828)

Question 373895: For all values of n and r, where r ≤ n, does nCr always equal nCn-r? Why or why not?
NO? I am so confused
Click here to see answer by robertb(4012)

Question 373865: Find a value of the variable that shows that the two expressions are not equivalent. Answers may vary.
a + 7 / 7 ;a
Click here to see answer by Fombitz(13828)

Question 373884: A positive integer is 11 more than 5 times another. The product is 988. Find the two integers using the quadratic formula.
Click here to see answer by mananth(12270)

Question 373974: Write a quadratic equation for -7,5
Click here to see answer by nerdybill(7003)

Question 373971: help me solve this, please. 7x+x(x-5)=0. I'm not sure what to put in place of the x
Click here to see answer by nerdybill(7003)

Question 373975: Determine nature of solution
y^2=3/4y+4/7
Click here to see answer by Fombitz(13828)

Question 373986: Find all roots by factoring: f(x)=x^3+7x^2+10x
Click here to see answer by Earlsdon(6294)

Question 373991: Please help me solve this equation [6xsquare +11x+60}
Click here to see answer by jim_thompson5910(28715)

Question 374147: Find a quadratic equation for each root.
a)(2/3,-5)
b)(-1/2,-3/4)
c)(0,-3/2)
d)2+root5,2-root5
Click here to see answer by edjones(7569)

Question 374113: Can you help me solve this problem.
Our topic is about quadratic equations by completing the square.
The product of two numbers is 10 less than 16 times the smaller.If twice the smaller is 5 more than the larger number, find the two numbers.
Click here to see answer by scott8148(6628)

Question 374191: When the square of a certain number is diminished by 9 times the number the result is 36. Find the number.
Click here to see answer by Bebita1992(4)

Question 374107: the area of a carpet is 308 sq m .If its length is 2 meters less and its width 6 meters more,the carpet will be square.Find the dimensions of the carpet.
P.S Solving Quadratic Equations by Completing the Square is the topic.

Click here to see answer by amoresroy(333)

Question 374235: Can you help me solve this problem please!
topic:quadratic equations by completing the square
marivic is five years older than michelle. in three years , the prdocut of her age and michelle's age five years ago will be 90 years.Find their present ages.
Click here to see answer by mananth(12270)

Question 374365: Determine the nature of the solutions of the equation X2-3x+9=0
A: one real solution
B: two non-real solutions
C: two real solutions

Click here to see answer by jsmallt9(3296)

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