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}

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

- 3 x^{2} + 297 = 0

2 x^{2} + 16 x - 7

x^{2} - a = 0

3 (x + 4)^{2} - 3 (x - 6) = 36

6 x^{2} - 12 x + 6 = 0

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