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

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

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

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

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complete the square

3 x^{2} - 2 x

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

Solution steps

3 x^{2} - 2 x

Write

3 x^{2} - 2 x

in the form:

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

Factor out

3

3 (x^{2} - \frac{2 x}{3})

2 a = - \frac{2}{3} : a = - \frac{1}{3}

Add and subtract

(- \frac{1}{3})^{2}

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

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

x^{2} - \frac{2}{3} x + (- \frac{1}{3})^{2} = (x - \frac{1}{3})^{2}

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

Simplify

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

3 x^{2} + 24 x + 60 = 0

5 v^{2} - 10 v = 0

4 x + 3 x^{2} = 81 + 4 x

x, x^{2} + y^{2} + z^{2} - z = 0

10 x - 24 = x^{2}

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