What is the answer to sqrt(6x+1)-sqrt(x)=3 ?

The answer to sqrt(6x+1)-sqrt(x)=3 is x=4

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sqrt(6x+1)-sqrt(x)=3

6 x + 1 - x = 3

x = 4

Solution steps

6 x + 1 - x = 3

Remove square roots

25 x^{2} - 80 x + 64 = 36 x

Solve

25 x^{2} - 80 x + 64 = 36 x : x = 4, x = \frac{16}{25}

x = 4, x = \frac{16}{25}

Verify Solutions:

x = 4

True

, x = \frac{16}{25}

False

The solution is

x = 4

2 x + 6 - x + 4 = - 1

x + 15 = x - 5

2 x^{\frac{5}{3}} - 18 x = 0

x^{\frac{2}{3}} = x - 4

24 - 2 x = x

What is the answer to sqrt(6x+1)-sqrt(x)=3 ?
The answer to sqrt(6x+1)-sqrt(x)=3 is x=4
Solve for x: sqrt(6x+1)-sqrt(x)=3
The solution is x=4