Answer:
The value of x = 6
Explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6