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

The answer to sqrt(2x-1)=sqrt(x)+2 is x=25

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

2 x - 1 = x + 2

x = 25

Solution steps

2 x - 1 = x + 2

Remove square roots

x^{2} - 10 x + 25 = 16 x

Solve

x^{2} - 10 x + 25 = 16 x : x = 25, x = 1

x = 25, x = 1

Verify Solutions:

x = 25

True

, x = 1

False

The solution is

x = 25

2 x + 26 - 9 = x

7 = x + x - 1

3 x - 14 + x = 6

x - x - 12 = 0

(x - 4)^{\frac{2}{3}} = 16

What is the answer to sqrt(2x-1)=sqrt(x)+2 ?
The answer to sqrt(2x-1)=sqrt(x)+2 is x=25
Solve for x: sqrt(2x-1)=sqrt(x)+2
The solution is x=25