show work
Home
/
Homework Help
/
solve by fractoring x^2-9x=-20?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
x^2-9x=-20 Move -20 to left.
x^2-9x+20=-20+20 Simplify
x^2-9x+20=0 Factor
(x-5)(x-4)=0 Solve for x
x=4,5
first you move the -20 over to the left side so you can set the equation equal to zero,
x^2-9x+20=0
then you set up for factoring. since the 20 is positive and the -9x is negative, you know both the signs in the parenthesis have to be negative. so,
(x- )(x- )= 0
now you need two number that add to be nine and multiply to be 20. so you have to look at the factors of 20. 1,2,4,5,10,20.
turns out 5 and 4 work. so,
(x-5)(x-4)=0
x^2 – 9x = - 20
x^2 – 9x + 20 = 0
By Factorization,
x^2 – 5x – 4x + 20 = 0
x(x – 5) – 4 (x – 5) = 0
(x – 4) (x – 5)=0
(x – 4) = 0 OR (x – 5)=0
x = 4 OR x = 5
Answer: x = 4,5
x^2-9x=-20
x^2-9x+20=0
(x-5)(x-4)=0
x=4,5
Got it
yeah sure do my homework