What is the answer to sqrt(4x+3)-sqrt(4x-1)=2 ?

The answer to sqrt(4x+3)-sqrt(4x-1)=2 is x= 1/4

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sqrt(4x+3)-sqrt(4x-1)=2

4 x + 3 - 4 x - 1 = 2

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4 x + 3 - 4 x - 1 = 2

Remove square roots

0 = 64 x - 16

Solve

0 = 64 x - 16 : x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

4 = x^{\frac{1}{2}}

8 x + 1 + 1 = x

3 x^{2} + 6 x = 0

2 x + 2 = x - 1

What is the answer to sqrt(4x+3)-sqrt(4x-1)=2 ?
The answer to sqrt(4x+3)-sqrt(4x-1)=2 is x= 1/4
Solve for x: sqrt(4x+3)-sqrt(4x-1)=2
The solution is x= 1/4