What is the answer to sqrt(x)-1=sqrt(x-4) ?

The answer to sqrt(x)-1=sqrt(x-4) is x= 25/4

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sqrt(x)-1=sqrt(x-4)

x - 1 = x - 4

x = \frac{25}{4}

Decimal Notation

x = 6.25

Solution steps

x - 1 = x - 4

Remove square roots

4 x = 25

Solve

4 x = 25 : x = \frac{25}{4}

x = \frac{25}{4}

Verify Solutions:

x = \frac{25}{4}

True

The solution is

x = \frac{25}{4}

x^{2} - x^{\frac{1}{2}} = 0

4 x + 2 = 9 x - 9

x (3 - x) + 2 x - 6 = 0

3 - 2 x - 2 = 0

3 x + 28 = x

What is the answer to sqrt(x)-1=sqrt(x-4) ?
The answer to sqrt(x)-1=sqrt(x-4) is x= 25/4
Solve for x: sqrt(x)-1=sqrt(x-4)
The solution is x= 25/4