Question

What is the solution to the equation?

√x + 2 = 1
O A. 1
OB. 4
O C. 1 and 4
OD. no solution

Answer 1

The solution of the equation is B. 4

Explanation:

√x + 2 = x

√x = x - 2

(√x)² = (x-2)²

x = (x-2) (x-2)

x = x² - 4x + 4

x moves to the right

0 = x² - 4x - x + 4

0 = x² - 5x + 4

0 = (x-1) and (x-4)

x-1 = 0 x-4 = 0

x = 1 (not) x = 4

So, the solution to the equation is B. 4