What are the solutions to the equation completesquare y^2+12y ?

The solutions to the equation completesquare y^2+12y are (y+6)^2-36

Find the zeros of completesquare y^2+12y

The zeros of completesquare y^2+12y are (y+6)^2-36

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complete the square

y^{2} + 12 y

(y + 6)^{2} - 36

Solution steps

y^{2} + 12 y

Write

y^{2} + 12 y

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

y^{2} + 12 y + 6^{2} - 6^{2}

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

y^{2} + 12 y + 6^{2} = (y + 6)^{2}

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

Simplify

(y + 6)^{2} - 36

y^{2} + 18 y

x^{2} - 13 x - 15 = 0

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

9 x^{2} - 18 x

4 x^{2} - 2 x = 9

What are the solutions to the equation completesquare y^2+12y ?
The solutions to the equation completesquare y^2+12y are (y+6)^2-36
Find the zeros of completesquare y^2+12y
The zeros of completesquare y^2+12y are (y+6)^2-36