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

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

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

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

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complete the square

- y^{2} + 6 y

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

Solution steps

- y^{2} + 6 y

Write

- y^{2} + 6 y

in the form:

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

Factor out

- 1

- (y^{2} - 6 y)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

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

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

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

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

Simplify

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

x, y^{3} x + y^{2} x^{2} = 6

(x + 7)^{2} + x^{2} = 1 3^{2}

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

d^{2} - 5 d = 0

3 v^{2} + 7 v = 40

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