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

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

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

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

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complete the square

3 x^{2} - 6 x

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

Solution steps

3 x^{2} - 6 x

Write

3 x^{2} - 6 x

in the form:

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

Factor out

3

3 (x^{2} - 2 x)

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

3 (x^{2} - 2 x + (- 1)^{2} - (- 1)^{2})

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

x^{2} - 2 x + (- 1)^{2} = (x - 1)^{2}

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

Simplify

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

- 3 x^{2} + 6 = - 1

4 x^{2} - 10 x - 3

3 (x - 2)^{2} = 7

y^{2} - 9 y + 8 = 0

x, x^{2} + y^{2} - 6 x + 2 y + 12 = 0

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