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}

y^{2} + 3 y - 7 = 0

x^{2} + 60 x + 1000 = 0

3 x^{2} - 13 x - 5 = 4 x + 1

1 - 0.4 x + 0.04 x^{2} = 0

(x + 3)^{2} + 2 = 0

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