Consider the Equation

x^2-10x-11=0

x = - 1, x = 11

Step-by-step explanation:

Given

x² - 10x - 11 = 0

Consider the factors of the constant term ( - 11) which sum to give the coefficient of the x - term ( - 10)

The factors are - 11 and + 1, since

- 11 * 1 = - 11 and - 11 + 1 = - 10, thus

(x - 11) (x + 1) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 11

x + 1 = 0 ⇒ x = - 1

Answer: x^{2} - 10x - 11 = 0

x^{2} - 10x = 11

x = - 1

; - 1^{2} - 10 (-1) = 11

1 + 10 = 11