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

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

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

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

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complete the square

3 x^{2} + 6 x + 2

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

Solution steps

3 x^{2} + 6 x + 2

Write

3 x^{2} + 6 x + 2

in the form:

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

Factor out

3

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

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

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

12 x^{2} + 17 x - 40 = 0

3 x^{2} + 6 x - 2

x^{2} - 11 x + 21 = 0

x^{2} - \frac{3}{2} x + 1 = 0

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