What is the answer to sqrt(x^2-x-9)=x+4 ?

The answer to sqrt(x^2-x-9)=x+4 is x=-25/9

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sqrt(x^2-x-9)=x+4

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

x = - \frac{25}{9}

Decimal Notation

x = - 2.77777 \dots

Solution steps

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

Square both sides:

x^{2} - x - 9 = x^{2} + 8 x + 16

x^{2} - x - 9 = x^{2} + 8 x + 16

Solve

x^{2} - x - 9 = x^{2} + 8 x + 16 : x = - \frac{25}{9}

x = - \frac{25}{9}

Verify Solutions:

x = - \frac{25}{9}

True

The solution is

x = - \frac{25}{9}

6 x + 17 = x + 3

28 - 9 x = x - 4

10 = (- 3 - 3)^{2} + (6 - y)^{2}

20 = w^{2} + 1 6^{2}

x^{2} + 16 = 0

What is the answer to sqrt(x^2-x-9)=x+4 ?
The answer to sqrt(x^2-x-9)=x+4 is x=-25/9
Solve for x: sqrt(x^2-x-9)=x+4
The solution is x=-25/9