What is the answer to 2sqrt(5x-1)-sqrt(x)=3 ?

The answer to 2sqrt(5x-1)-sqrt(x)=3 is x=1

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2sqrt(5x-1)-sqrt(x)=3

2 5 x - 1 - x = 3

x = 1

Solution steps

2 5 x - 1 - x = 3

Remove square roots

361 x^{2} - 494 x + 169 = 36 x

Solve

361 x^{2} - 494 x + 169 = 36 x : x = 1, x = \frac{169}{361}

x = 1, x = \frac{169}{361}

Verify Solutions:

x = 1

True

, x = \frac{169}{361}

False

The solution is

x = 1

x - 20 x + 99 = 0

3 x - 1 = \frac{x - 1}{2}

3 x + 10 = 4

(x + 7)^{\frac{2}{3}} = 4

5 - x = 3

What is the answer to 2sqrt(5x-1)-sqrt(x)=3 ?
The answer to 2sqrt(5x-1)-sqrt(x)=3 is x=1
Solve for x: 2sqrt(5x-1)-sqrt(x)=3
The solution is x=1