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

The solutions to the equation completesquare y^2+2y are (y+1)^2-1

Find the zeros of completesquare y^2+2y

The zeros of completesquare y^2+2y are (y+1)^2-1

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complete the square

y^{2} + 2 y

(y + 1)^{2} - 1

Solution steps

y^{2} + 2 y

Write

y^{2} + 2 y

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

y^{2} + 2 y + 1^{2} - 1^{2}

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

y^{2} + 2 y + 1^{2} = (y + 1)^{2}

(y + 1)^{2} - 1^{2}

Simplify

(y + 1)^{2} - 1

12 x^{2} - 48 x = 0

5 x^{2} + 1 = - 13 x - 5

x^{2} - 26 x + 169 = 49

3 (x - 5)^{2} = 33

0 = x^{2} + 2

What are the solutions to the equation completesquare y^2+2y ?
The solutions to the equation completesquare y^2+2y are (y+1)^2-1
Find the zeros of completesquare y^2+2y
The zeros of completesquare y^2+2y are (y+1)^2-1