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

The answer to sqrt(x^2-x-5)=x+5 is x=-30/11

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

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

x = - \frac{30}{11}

Decimal Notation

x = - 2.72727 \dots

Solution steps

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

Square both sides:

x^{2} - x - 5 = x^{2} + 10 x + 25

x^{2} - x - 5 = x^{2} + 10 x + 25

Solve

x^{2} - x - 5 = x^{2} + 10 x + 25 : x = - \frac{30}{11}

x = - \frac{30}{11}

Verify Solutions:

x = - \frac{30}{11}

True

The solution is

x = - \frac{30}{11}

(12 h - 16)^{\frac{4}{3}} - 1 = 15

v^{\frac{1}{3}} = 4

- 2 x + 4 = - 12

x - 1 = x - 8

What is the answer to sqrt(x^2-x-5)=x+5 ?
The answer to sqrt(x^2-x-5)=x+5 is x=-30/11
Solve for x: sqrt(x^2-x-5)=x+5
The solution is x=-30/11