Question

Which of the following is a solution of x2 − 10x = −36?

A. negative 5 minus i square root of 10
B. 5 plus i square root of 61
C. negative 5 minus i square root of 11
D. 5 plus i square root of 11

Answer 1

Option D, 5 plus i square root of 11

Explanation:

We have to find the solution of x² - 10x = -36

x² - 10x = -36

x² - 10x + 36 = 0

x² - 2(5x) + 25 + 11 = 0

(x-5)² + 11 = 0

(x-5)² = -11

(x-5) = √(-11)

x = 5 + i√11 [ since √(-1) = i]

Option D 5 plus i square root of 11 is the answer.