√(4x + 3) - √(4x - 1) = 2 ​

Question

`√(4x + 3) - √(4x - 1) = 2`
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Answer 1

√4x + 3 - √4x - 1 = 2

√4x + 3 = 2 + √4x - 1

(√4x + 3)² = (2 + √4x - 1)²

4x + 3 = 4 + 4√(4x - 1) + 4x - 1

4x - 4x + 3 + 1 - 4 = 4√4x - 1

o = 4√4x - 1

√4x - 1 = 0

4x - 1 = 0

4x = 1

x = 1/4