Question

Solve for x.
√x-1=x-7
O x = 5 or x = 10
O x = 5
O x = 10
O no solution

Answer 1

option 1:

x = 5 or x = 10

Explanation:

√x - 1 = x - 7

taking square of both sides

(√x - 1)² = (x - 7)²

x - 1 = x² + 49 - 14x

x² + 49 - 14x - x + 1 = 0

x² - 15x + 50 = 0

x² - 10x - 5x + 50 = 0

x(x - 10) - 5(x - 10) = 0

(x - 5)(x - 10) = 0

thus, the correct option is:

option 1:

x = 5 or x = 10