What are the solutions to the equation completesquare 3y^2-6y ?

The solutions to the equation completesquare 3y^2-6y are 3(y-1)^2-3

Find the zeros of completesquare 3y^2-6y

The zeros of completesquare 3y^2-6y are 3(y-1)^2-3

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complete the square

3 y^{2} - 6 y

3 (y - 1)^{2} - 3

Solution steps

3 y^{2} - 6 y

Write

3 y^{2} - 6 y

in the form:

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

Factor out

3

3 (y^{2} - 2 y)

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

3 (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}

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

Simplify

3 (y - 1)^{2} - 3

4 a^{2} + 4 = 72

(3 x + 4)^{2} = 27

2 x^{2} + 4 = 2 x

2 y^{2} + 8 = 0

x^{2} + 50 x = 0

What are the solutions to the equation completesquare 3y^2-6y ?
The solutions to the equation completesquare 3y^2-6y are 3(y-1)^2-3
Find the zeros of completesquare 3y^2-6y
The zeros of completesquare 3y^2-6y are 3(y-1)^2-3