What is the answer to sqrt(x^2-x-2)=5-x ?

The answer to sqrt(x^2-x-2)=5-x is x=3

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sqrt(x^2-x-2)=5-x

x^{2} - x - 2 = 5 - x

x = 3

Solution steps

x^{2} - x - 2 = 5 - x

Square both sides:

x^{2} - x - 2 = 25 - 10 x + x^{2}

x^{2} - x - 2 = 25 - 10 x + x^{2}

Solve

x^{2} - x - 2 = 25 - 10 x + x^{2} : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

x^{2} - 5 x + 6 = x - 2

(x - 4)^{\frac{3}{2}} = 8

- 4 3 x + 10 = - 40

7 t + 5 = 9

2 x - 4 = 6

What is the answer to sqrt(x^2-x-2)=5-x ?
The answer to sqrt(x^2-x-2)=5-x is x=3
Solve for x: sqrt(x^2-x-2)=5-x
The solution is x=3