What is the answer to sqrt(x^2-x-6)=x+5 ?

The answer to sqrt(x^2-x-6)=x+5 is x=-31/11

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sqrt(x^2-x-6)=x+5

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

x = - \frac{31}{11}

Decimal Notation

x = - 2.81818 \dots

Solution steps

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

Square both sides:

x^{2} - x - 6 = x^{2} + 10 x + 25

x^{2} - x - 6 = x^{2} + 10 x + 25

Solve

x^{2} - x - 6 = x^{2} + 10 x + 25 : x = - \frac{31}{11}

x = - \frac{31}{11}

Verify Solutions:

x = - \frac{31}{11}

True

The solution is

x = - \frac{31}{11}

3 x^{2} + 8 x - 33 = 0

x, y = 64 - x^{2}

s, v = 2 a s

What is the answer to sqrt(x^2-x-6)=x+5 ?
The answer to sqrt(x^2-x-6)=x+5 is x=-31/11
Solve for x: sqrt(x^2-x-6)=x+5
The solution is x=-31/11