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

4 x^{2} - 4 x + 11 = 0

y, z = x^{3} + 3 x y^{2} - 15 x - 12 y

9 y^{2} = 4

8 x^{2} - 8 x - 6 = 0

x^{2} + 5 = 5 x

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