What is the answer to sqrt(x-2)-1=sqrt(3-x) ?

The answer to sqrt(x-2)-1=sqrt(3-x) is x=3

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

x - 2 - 1 = 3 - x

x = 3

Solution steps

x - 2 - 1 = 3 - x

Remove square roots

4 x - 8 = 4 x^{2} - 16 x + 16

Solve

4 x - 8 = 4 x^{2} - 16 x + 16 : x = 3, x = 2

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

False

The solution is

x = 3

3 3 x + 4 - x = 5 + x

6 + \frac{6}{x ^{\frac{5}{11}}} = 0

2 2 x - 8 = 3 (2 x + 2)

16 - x^{\frac{2}{3}} = 0

3 x - 5 = 9 x + 33

What is the answer to sqrt(x-2)-1=sqrt(3-x) ?
The answer to sqrt(x-2)-1=sqrt(3-x) is x=3
Solve for x: sqrt(x-2)-1=sqrt(3-x)
The solution is x=3