Answer:
x = 7, x = 10
Step-by-step 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
