Question

`{x}^(2) + 70 = 17x`
solve

I really neeed this done asap​

Answer 1

x = 7, x = 10

Explanation:

x² + 70 = 17x ( subtract 17x from both sides )

x² - 17x + 70 = 0 ← in standard form

consider the factors of the constant term (+ 70) which sum to give the coefficient of the x- term (- 17)

the factors are - 10 and - 7 , since

- 10 × - 7 = + 70 and - 10 - 7 = - 17 , then

(x - 10)(x - 7) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x - 10 = 0 ⇒ x = 10

Answer 2

Answer: x=7 x=10

Explanation:

`x^2+70=17x\\x^2+70-17x=17x-17x\\x^2-17x+70=0\\x^2-7x-10x+70=0\\x(x-7)-10(x-7)=\\(x-7)(x-10)=0\\x-7=0\\x=7\\x-10=0\\x=10`