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

The answer to sqrt(5x+1)-sqrt(x)=5 is x=16

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

5 x + 1 - x = 5

x = 16

Solution steps

5 x + 1 - x = 5

Remove square roots

16 x^{2} - 192 x + 576 = 100 x

Solve

16 x^{2} - 192 x + 576 = 100 x : x = 16, x = \frac{9}{4}

x = 16, x = \frac{9}{4}

Verify Solutions:

x = 16

True

, x = \frac{9}{4}

False

The solution is

x = 16

(8 x - 8)^{\frac{3}{2}} = 64

1 - 3 x = x + 17

x + 42 = x

x - 2 x + 5 = 5

What is the answer to sqrt(5x+1)-sqrt(x)=5 ?
The answer to sqrt(5x+1)-sqrt(x)=5 is x=16
Solve for x: sqrt(5x+1)-sqrt(x)=5
The solution is x=16