Question

Stuck, anyone can help?

Answer 1

Explanation:

`√(x-3)` = x - 5 ( x ≥ 3 )

(
`√(x-3)` )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0

`x_(1)` = 7

`x_(2)` = 4

Check the answer:

1). x = 7

`√(7-3)` = 7 - 2

√4 = 2

2 = 2

2). x = 4

`√(4-3)` = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.