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

The answer to sqrt(2x)-sqrt(x+1)=1 is x=8

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

2 x - x + 1 = 1

x = 8

Solution steps

2 x - x + 1 = 1

Remove square roots

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

Solve

x^{2} - 4 x + 4 = 4 x + 4 : x = 8, x = 0

x = 8, x = 0

Verify Solutions:

x = 8

True

, x = 0

False

The solution is

x = 8

2 x + 1^{2} = x^{2}

A, U = n A - r

x + 8 - 5 = 0

1 - p = - 8 - 2 p

What is the answer to sqrt(2x)-sqrt(x+1)=1 ?
The answer to sqrt(2x)-sqrt(x+1)=1 is x=8
Solve for x: sqrt(2x)-sqrt(x+1)=1
The solution is x=8