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

x^{2} + \frac{1}{2} x + 1 = 0

x, x^{2} + 3 x y + 1 = 0

4 x^{2} + 16 x + 3 = 8 x

x^{2} - 8 x - 63 = - 10 x

(x + 2)^{2} + (x + 3)^{2} = (x + 4)^{2}

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