Answer:
see explanation
Step-by-step explanation:
Given
x² + 17x - 60 = 0
To factor the quadratic
Consider the factors of the constant term (- 60) which sum to give the coefficient of the x- term (+ 17)
The factors are + 20 and - 3, since
product = + 20 × - 3 = - 60 and sum = + 20 - 3 = + 17, thus
x² + 17x - 60 = (x + 20)(x - 3) = 0
Equate each factor to zero and solve for x
x + 20 = 0 ⇒ x = - 20
x - 3 = 0 ⇒ x = 3
