What is the answer to sqrt(x^2-x-8)=x+3 ?

The answer to sqrt(x^2-x-8)=x+3 is x=-17/7

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sqrt(x^2-x-8)=x+3

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

x = - \frac{17}{7}

Decimal Notation

x = - 2.42857 \dots

Solution steps

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

Square both sides:

x^{2} - x - 8 = x^{2} + 6 x + 9

x^{2} - x - 8 = x^{2} + 6 x + 9

Solve

x^{2} - x - 8 = x^{2} + 6 x + 9 : x = - \frac{17}{7}

x = - \frac{17}{7}

Verify Solutions:

x = - \frac{17}{7}

True

The solution is

x = - \frac{17}{7}

- b + 60 - 6 b = - 10

x^{2} - 6 x + 9 = 4 x^{2} - 6 x + 6

8 = x^{\frac{3}{2}}

5 x + 4 + 2 = x

6 (x + 6)^{\frac{2}{3}} = 54

What is the answer to sqrt(x^2-x-8)=x+3 ?
The answer to sqrt(x^2-x-8)=x+3 is x=-17/7
Solve for x: sqrt(x^2-x-8)=x+3
The solution is x=-17/7