What are the solutions to the equation completesquare 6x-27=-x^2 ?

The solutions to the equation completesquare 6x-27=-x^2 are x=3,x=-9

Find the zeros of completesquare 6x-27=-x^2

The zeros of completesquare 6x-27=-x^2 are x=3,x=-9

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6 x - 27 = - x^{2}

x = 3, x = - 9

Solution steps

6 x - 27 = - x^{2}

Switch sides

- x^{2} = 6 x - 27

Move

6 x

to the left side

- x^{2} - 6 x = - 27

Divide both sides by

- 1

\frac{- x ^{2} - 6 x}{- 1} = \frac{- 27}{- 1}

x^{2} + 6 x = 27

Rewrite in the form

(x + a)^{2} = b

(x + 3)^{2} = 36

For

the solutions are

f (x) = a, - a

Solve

x + 3 = 36 : x = 3

Solve

x + 3 = - 36 : x = - 9

The solutions to the quadratic equation are:

x = 3, x = - 9

2 x^{2} + 8 x + 10 = 4

6 x^{2} - x - 7 = 0

(x + 3)^{2} - 5 = 11

(3 - x) (- 1 - x) - 5 = 0

x^{2} + 25 x + 150 = 0

What are the solutions to the equation completesquare 6x-27=-x^2 ?
The solutions to the equation completesquare 6x-27=-x^2 are x=3,x=-9
Find the zeros of completesquare 6x-27=-x^2
The zeros of completesquare 6x-27=-x^2 are x=3,x=-9