Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 251105: I would really love some help on this problem!!
Use quadratic formula to solve:
x^2 - x = -6
I believe I have to use imaginary numbers but I am not sure how to do so.
Thank you so much in advance!!
Click here to see answer by vleith(2983) |
Question 251321: A picture 11 inches by 15 inches is to be mounted on a piece of mat board so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 285 square inches?
Click here to see answer by richwmiller(17219)  |
Question 251311: Tom traveled 280 miles east of St. Louis. For most of the trip he averaged 60mph, but for one period of time he was slowed to 10mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
Click here to see answer by richwmiller(17219)  |
Question 251319: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.
Click here to see answer by checkley77(12844) |
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(3758) |
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 richwmiller(17219)  |
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(22740)  |
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 Theo(13342)  |
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(2741)  |
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 richwmiller(17219)  |
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(8007)  |
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 richwmiller(17219)  |
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(13342)  |
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 palanisamy(496) |
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 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 vleith(2983) |
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)  |
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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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