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

The answer to sqrt(x^2-x-5)=x+2 is x=-9/5

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

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

x = - \frac{9}{5}

Solution steps

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

Square both sides:

x^{2} - x - 5 = x^{2} + 4 x + 4

x^{2} - x - 5 = x^{2} + 4 x + 4

Solve

x^{2} - x - 5 = x^{2} + 4 x + 4 : x = - \frac{9}{5}

x = - \frac{9}{5}

Verify Solutions:

x = - \frac{9}{5}

True

The solution is

x = - \frac{9}{5}

3.7 x^{\frac{1}{2}} - 2.2 = 0

30 + x = x

x + 2 = 4

x + 6 + x - 6 = 0

3 7 y + 4 = 15

What is the answer to sqrt(x^2-x-5)=x+2 ?
The answer to sqrt(x^2-x-5)=x+2 is x=-9/5
Solve for x: sqrt(x^2-x-5)=x+2
The solution is x=-9/5