What is the answer to sqrt(5x+1)-sqrt(x)=2 ?

The answer to sqrt(5x+1)-sqrt(x)=2 is x= 9/4

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sqrt(5x+1)-sqrt(x)=2

5 x + 1 - x = 2

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

5 x + 1 - x = 2

Remove square roots

16 x^{2} - 24 x + 9 = 16 x

Solve

16 x^{2} - 24 x + 9 = 16 x : x = \frac{9}{4}, x = \frac{1}{4}

x = \frac{9}{4}, x = \frac{1}{4}

Verify Solutions:

x = \frac{9}{4}

True

, x = \frac{1}{4}

False

The solution is

x = \frac{9}{4}

4 x^{2} - 1 - x = - 1

12 x - 5 = 3

2 x + 1 = 0

x - 2 x + 3 = 1

What is the answer to sqrt(5x+1)-sqrt(x)=2 ?
The answer to sqrt(5x+1)-sqrt(x)=2 is x= 9/4
Solve for x: sqrt(5x+1)-sqrt(x)=2
The solution is x= 9/4