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

The solutions to the equation completesquare-x^2+6x are -(x-3)^2+9

Find the zeros of completesquare-x^2+6x

The zeros of completesquare-x^2+6x are -(x-3)^2+9

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complete the square

- x^{2} + 6 x

- (x - 3)^{2} + 9

Solution steps

- x^{2} + 6 x

Write

- x^{2} + 6 x

in the form:

x^{2} + 2 a x + a^{2}

Factor out

- 1

- (x^{2} - 6 x)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

- (x^{2} - 6 x + (- 3)^{2} - (- 3)^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

- ((x - 3)^{2} - (- 3)^{2})

Simplify

- (x - 3)^{2} + 9

5 x^{2} - 6 x - 1 = - 3 x^{2}

2 x^{2} - 13 = 53

3 x^{2} - 8 x + 9 = 0

x^{2} + 12 x = - 4

- x^{2} + 12 x - 14 = 4 x

What are the solutions to the equation completesquare-x^2+6x ?
The solutions to the equation completesquare-x^2+6x are -(x-3)^2+9
Find the zeros of completesquare-x^2+6x
The zeros of completesquare-x^2+6x are -(x-3)^2+9