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

The answer to sqrt(x-2)=sqrt(x)-1 is x= 9/4

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

x - 2 = x - 1

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

x - 2 = x - 1

Remove square roots

9 = 4 x

Solve

9 = 4 x : x = \frac{9}{4}

x = \frac{9}{4}

Verify Solutions:

x = \frac{9}{4}

True

The solution is

x = \frac{9}{4}

x - 2 = x - 2

2 \cdot x - 1 = - 7

x + 2 - 10 = - 6

17 - 4 x = x - 3

5 a - 1 - 8 - 2 a = 1

What is the answer to sqrt(x-2)=sqrt(x)-1 ?
The answer to sqrt(x-2)=sqrt(x)-1 is x= 9/4
Solve for x: sqrt(x-2)=sqrt(x)-1
The solution is x= 9/4