What is the answer to sqrt(4+2x-x^2)=x-2 ?

The answer to sqrt(4+2x-x^2)=x-2 is x=3

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sqrt(4+2x-x^2)=x-2

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

x = 3

Solution steps

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

Square both sides:

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

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

Solve

4 + 2 x - x^{2} = x^{2} - 4 x + 4 : x = 0, x = 3

x = 0, x = 3

Verify Solutions:

x = 0

False

, x = 3

True

The solution is

x = 3

2 x - \frac{1}{2} = 8 x

x = 0.1

x + 2 = 2 - x

3 x + 1 - x + 3 = 0

What is the answer to sqrt(4+2x-x^2)=x-2 ?
The answer to sqrt(4+2x-x^2)=x-2 is x=3
Solve for x: sqrt(4+2x-x^2)=x-2
The solution is x=3