Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 251553: How would you factor 5x^2-42x+16 using the box method?
Click here to see answer by richwmiller(9135)

Question 251553: How would you factor 5x^2-42x+16 using the box method?
Click here to see answer by jim_thompson5910(28595)

Question 251584: Solve the quadratic equation: x^2-3x=0
Click here to see answer by jim_thompson5910(28595)

Question 251316: Solve the problem. Round to the nearest tenth, if necessary.
A rock falls from a tower that is 432 feet high. As it is falling, it's height is given by the formula h= 432- 16t^2. How many seconds will it take for the rock to hit the ground (h=0)?
Click here to see answer by ankor@dixie-net.com(15652)

Question 251510: (x-6)/(x^2+5x-6) + 12 / (x^2+5x-6)
Click here to see answer by richwmiller(9135)

Question 251513: (6v^2/(5v^2-10v-15))*((5v-15)/2v)
Click here to see answer by padmameesala(42)

Question 251684: Problem: Originally, a rectangle was three times as long as it is wide. When 2 cm were subtracted from the length and 5 cm were added to the width, the resulting rectangle had an area of 90 cm squared. Find the dimensions of the new rectangle.
hmmmm, I tried this problem...but I keep getting decimal answers when solving :/ We are supposed to use only one variable in the actual equation, and use Quadratic equations to solve.
My Attempt:
w=width
l=length
l=3w
Formula-
A=width(length)
(3w-2)(w+5)=90
Then I foiled and got:
3w^2+13w-100=0
And I get stuck there :/ I don't think it factors and I'm not sure if I foiled wrong or set it up wrong. :/ Help me, please? Thanks :)
I put this under Algebra, although I am in Algebra II, I hope that is fine :D
Click here to see answer by jsmallt9(3296)

Question 251710: How do you write a quadratic equation with integer coefficients for each pair of roots?
Click here to see answer by richwmiller(9135)

Question 251715: how do i find the quadratic equation,with this question:
" A rancher wants to yield the max amount of edible beef off of his square mile of land. At first he finds that as he adds more cattle, his yield goes up. However, if he overgrazes, the yield goes down. An agricultural agent tell him that his yield will vary quadratically with the # of animals that he grazes. For 5 head of cattle, his production is 8750 pounds of beef, and for 10 head of cattle, he reaps 15,000 pounds of beef. He had no production when he was grazing no cattle."
Find the particular equation of this function expressing pounds of beef produced in terms of the number of cattle.
Click here to see answer by ankor@dixie-net.com(15652)

Question 251817: Solve quadratic equations using the squaring method.
x^2+8x-2=0????
Click here to see answer by hokies(65)

Question 251817: Solve quadratic equations using the squaring method.
x^2+8x-2=0????
Click here to see answer by dabanfield(803)

Question 251837: Please help me solve the inequality of this equation:
(x-3)(x+4)(x-1)<0.
Whenever I solve this the solution I get is : x^3-13x+12<0
And I don't know what I'll do next.
Click here to see answer by jsmallt9(3296)

Question 251878: I need help understanding the method for solving quadratic equations from India.
The equation is x^2-2x-13=0. I have tried x^2-2x=13
4x^2-8x=52
4x^2-8x+4=52+4
4x^2-8x+4=56
then it asks to take the square root of both sides. Since I cant calculate the square root of 56 I have to believe that I have an error somewhere. Does the negative 2x change my equation?
Thanks for your help.
Click here to see answer by nyc_function(2733)

Question 251930: What two numbers added together equal -11 and then when the same two numbers are multiplied equal 15?
What two numbers added together equal 28 and then when those same two numbers are multiplied equal 32?
What two numbers added together equal -23 and then when those same two numbers are multiplied equal 36?
Click here to see answer by edjones(7569)

Question 251986: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by Theo(3464)

Question 251985: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much
Click here to see answer by MRperkins(300)

Question 251997: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by MRperkins(300)

Question 252000: f(x)=x^2+2x+15
I am a bit confused on graphing parabolas...I missed that day of school, as I was very ill. :(
We need to find the y-intercept, vertex, Axis of Symmetry, create a T=table, graph and label, state whether a maximum or minimum, and find the roots. :) Any help would be great, as I'm totally lost.
Click here to see answer by richwmiller(9135)

Question 251987: Q.1:-In a book with page numbers from 1 to 100, some pages are torn off. The sum of the numbers on the remaining pages is 4949. How many pages are torn off?
Q.2:- Let ABC be a triangle in which AB=AC and let I be its in-centre. suppose BC=AB+AI.find the angle BAC?
Q.3:-Show that there is no integer a such that a^2-3a-19 is divisible by 289?
Q.4:-Find the sum of all 3-digit natural numbers which contain at least one odd digit and at least one even digit?
Click here to see answer by richwmiller(9135)

Question 252024: 4x^2-4x+3=0
Move the constant to the right side of the equation.
Multiply each term in the equation by four times the coefficient of the x^2 term.
Square the coefficient of the original x term and add it to both sides of the equation
Take the square root of both sides.
Set the left side of the equation equal to the positive square root of the number on the right side and solve for x
Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.
Click here to see answer by richwmiller(9135)

Question 252051: The problem says:
Nicole's new house has a small deck that measures 6 feet by 12 feet. She would like to build a larger deck. By what amount must each dimension be increased to triple the area of the original deck?
Click here to see answer by solver91311(16885)

Question 252025: x^3-5x^2+4x-7
Click here to see answer by nyc_function(2733)

Question 252112: f(x)=x^4-3x^3-11x^2+3x+10
find the x intercepts
Click here to see answer by vksarvepalli(154)

Question 252122: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0
is 3
Click here to see answer by vksarvepalli(154)

Question 252017: Q.3:-Show that there is no integer a such that a^2-3a-19 is divisible by 289?
Click here to see answer by Edwin McCravy(8909)

Question 252245: What is the sum of the squares of the roots of x^4 - 5 x^2 + 6 = 0
Click here to see answer by josmiceli(9678)

Question 252256: 3x squared + 12x = -2
I can find the square sign on my computer so I just wrote out 3x squared
Click here to see answer by jim_thompson5910(28595)

Question 252269: how can we know that equation has no solution?im a bit confusing about that.
check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers from the back and it just written as no solution .really confused! -_-
Click here to see answer by stanbon(57347)

Question 252270: can u solve this equation for me ?
2^2x - 11.2^3 + 15 = 0
im stucked on it please help me thanks in advance ;)
Click here to see answer by Alan3354(30993)

Question 252322: Graph the problems below. Also provide a XY chart. with the given X values- -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
y = –3x2 – 6x – 5
y = x2 – 4
Click here to see answer by checkley77(12569)

Question 252356: given 3x- 4y = 7 and x+ cy = 13 for what value of c will this system of equations NOT have a solution?
a -4 b -4/3 c -3/4 d 3/4 e 4/3
Click here to see answer by edjones(7569)

Question 252391: I am having trouble solving: Y= -3x^2-6x-5, I have to graph it, so I need to know the x values, the y values, the x intercepts, the y itercepts and vertex
Click here to see answer by richwmiller(9135)

Question 251192: A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?
Click here to see answer by Alan3354(30993)

Question 252397: hello, I am graphing y= -3x^2-6x-5, if my vertex is -1, -2 and it only crosses the y axis once, at 0,-5, then what is my other coordinates so that I can create a chart in excel to plot my graph.
Click here to see answer by drk(1908)

Question 249185: Solve equation by using the quadratic formula.
9x^2+5x-11=0

Click here to see answer by Alan3354(30993)

Question 249185: Solve equation by using the quadratic formula.
9x^2+5x-11=0

Click here to see answer by jim_thompson5910(28595)

Question 252414: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much
Click here to see answer by ankor@dixie-net.com(15652)

Question 249707: solve by graphing 4x^2-x+8=y or 4x^2-x+8=0 vertex= ( 1/8 , 127/16 )
Click here to see answer by Alan3354(30993)

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, 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