What is the answer to sqrt(x)-1=sqrt(5-x) ?

The answer to sqrt(x)-1=sqrt(5-x) is x=4

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sqrt(x)-1=sqrt(5-x)

x - 1 = 5 - x

x = 4

Solution steps

x - 1 = 5 - x

Remove square roots

4 x = 4 x^{2} - 16 x + 16

Solve

4 x = 4 x^{2} - 16 x + 16 : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

x - 5 = x - 3

1 - x = (x - 1)^{2}

2 (x + 1) = 3 - x + 2

2 x + x = 1

7 x = 12 + x

What is the answer to sqrt(x)-1=sqrt(5-x) ?
The answer to sqrt(x)-1=sqrt(5-x) is x=4
Solve for x: sqrt(x)-1=sqrt(5-x)
The solution is x=4