What are the solutions to the equation -x^2-9=6x ?

The solutions to the equation -x^2-9=6x are x=-3

Find the zeros of -x^2-9=6x

The zeros of -x^2-9=6x are x=-3

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- x^{2} - 9 = 6 x

x = - 3

Solution steps

- x^{2} - 9 = 6 x

Move

6 x

to the left side

- x^{2} - 9 - 6 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} - 6 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 ( - 1 ) ( - 9 )}{2 ( - 1 )}

(- 6)^{2} - 4 (- 1) (- 9) = 0

x_{1, 2} = \frac{- ( - 6 ) \pm 0}{2 ( - 1 )}

x = \frac{- ( - 6 )}{2 ( - 1 )}

\frac{- ( - 6 )}{2 ( - 1 )} = - 3

x = - 3

The solution to the quadratic equation is:

x = - 3

3 x^{2} - 11 x + 5 = 0

9 x^{2} + 15 x = 0

100 - x^{2} = 52 + 2 x

x^{2} - 4 x - 72 = 0

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

What are the solutions to the equation -x^2-9=6x ?
The solutions to the equation -x^2-9=6x are x=-3
Find the zeros of -x^2-9=6x
The zeros of -x^2-9=6x are x=-3