Question

The sum of the solutions of the equation |√(x) - 2| + √(x) (√(x) - 4) + 2 = 0, (x > 0) is equal to:
(A) 9 (B) 4
(C) 10 (D) 12

Answer 1

The sum of the solutions of the equation |√(x) - 2| + √(x) (√(x) - 4) + 2 = 0, (x > 0) is equal to:

Given,

|√(x) - 2| + √(x) (√(x) - 4) + 2 = 0

√x - 2 + √(x)(√(x)) - √(x) (4) + 2 =0

√x - 2 + x - 4√x + 2 = 0

x - 3√x = 0

x =  3√x

√x = 3

squaring on both sides, we get,

x = 9

Therefore option A is correct.