What are the solutions to the equation completesquare y^2+8y ?

The solutions to the equation completesquare y^2+8y are (y+4)^2-16

Find the zeros of completesquare y^2+8y

The zeros of completesquare y^2+8y are (y+4)^2-16

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complete the square

y^{2} + 8 y

(y + 4)^{2} - 16

Solution steps

y^{2} + 8 y

Write

y^{2} + 8 y

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

y^{2} + 8 y + 4^{2} - 4^{2}

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

y^{2} + 8 y + 4^{2} = (y + 4)^{2}

(y + 4)^{2} - 4^{2}

Simplify

(y + 4)^{2} - 16

x^{2} - 6 x + 9 = 0

4 (2 - 4 x)^{2} - 43 = - 34

x^{2} - 29 x + 100 = 0

x^{2} + 5 = 2 x

x^{2} + 4 b = 0

What are the solutions to the equation completesquare y^2+8y ?
The solutions to the equation completesquare y^2+8y are (y+4)^2-16
Find the zeros of completesquare y^2+8y
The zeros of completesquare y^2+8y are (y+4)^2-16