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

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

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

x^{2} - x - 2 = x - 2

x = 2

Solution steps

x^{2} - x - 2 = x - 2

Square both sides:

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

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

Solve

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

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

(x - 3)^{\frac{2}{3}} = 49

7 - x + 7 = 0

3 = 5 z - 7 + 10

x, y^{2} = x

19 - 10 x - x + 7 = 5

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