What is the solution of the equation? (√2x-1) + 2=x

x = 5

Step-by-step explanation:

√ (2x - 1) + 2 = x

√ (2x - 1) = x - 2

2x - 1 = (x - 2) ²

2x - 1 = x² - 4x + 4

0 = x² - 6x + 5

0 = (x - 1) (x - 5)

x = 1 or 5

Check for extraneous solutions.

√ (2 (1) - 1) + 2 = 1

√ (1) + 2 = 1

3 = 1

No solution

√ (2 (5) - 1) + 2 = 5

√ (9) + 2 = 5

5 = 5

x = 5