What is the answer to sqrt(x^2-x-4)=x+4 ?

The answer to sqrt(x^2-x-4)=x+4 is x=-20/9

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sqrt(x^2-x-4)=x+4

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

x = - \frac{20}{9}

Solution steps

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

Square both sides:

x^{2} - x - 4 = x^{2} + 8 x + 16

x^{2} - x - 4 = x^{2} + 8 x + 16

Solve

x^{2} - x - 4 = x^{2} + 8 x + 16 : x = - \frac{20}{9}

x = - \frac{20}{9}

Verify Solutions:

x = - \frac{20}{9}

True

The solution is

x = - \frac{20}{9}

x - 7 = 17 x + 49

x^{- \frac{1}{2}} = 3

5 \cdot x + 9 = 35

2 k + 40 = - 16 - 2 k

What is the answer to sqrt(x^2-x-4)=x+4 ?
The answer to sqrt(x^2-x-4)=x+4 is x=-20/9
Solve for x: sqrt(x^2-x-4)=x+4
The solution is x=-20/9