What is the answer to sqrt(x^2-x-7)=x+5 ?

The answer to sqrt(x^2-x-7)=x+5 is x=-32/11

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sqrt(x^2-x-7)=x+5

x^{2} - x - 7 = x + 5

x = - \frac{32}{11}

Solution steps

x^{2} - x - 7 = x + 5

Square both sides:

x^{2} - x - 7 = x^{2} + 10 x + 25

x^{2} - x - 7 = x^{2} + 10 x + 25

Solve

x^{2} - x - 7 = x^{2} + 10 x + 25 : x = - \frac{32}{11}

x = - \frac{32}{11}

Verify Solutions:

x = - \frac{32}{11}

True

The solution is

x = - \frac{32}{11}

x + 5 = 6

x - 5 = x - 9

2 - x + 3 = x + 7

2328 = 3 X^{0.12} X^{3}

57 - 7 x = x - 9

What is the answer to sqrt(x^2-x-7)=x+5 ?
The answer to sqrt(x^2-x-7)=x+5 is x=-32/11
Solve for x: sqrt(x^2-x-7)=x+5
The solution is x=-32/11