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

The solutions to the equation completesquare 3x^2+3x are 3(x+1/2)^2-3/4

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

The zeros of completesquare 3x^2+3x are 3(x+1/2)^2-3/4

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complete the square

3 x^{2} + 3 x

3 (x + \frac{1}{2})^{2} - \frac{3}{4}

Solution steps

3 x^{2} + 3 x

Write

3 x^{2} + 3 x

in the form:

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

Factor out

3

3 (x^{2} + x)

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

Add and subtract

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

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

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

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

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

Simplify

3 (x + \frac{1}{2})^{2} - \frac{3}{4}

4 x^{2} - 5 x = - 2

8 x^{2} + 12 x - 3 = 0

2 x^{2} = 7 x - 6

5 w^{2} = - 15 w

(1 - x)^{2} = 4

What are the solutions to the equation completesquare 3x^2+3x ?
The solutions to the equation completesquare 3x^2+3x are 3(x+1/2)^2-3/4
Find the zeros of completesquare 3x^2+3x
The zeros of completesquare 3x^2+3x are 3(x+1/2)^2-3/4