What are the solutions to the equation completesquare 3x^2+6x-4 ?

The solutions to the equation completesquare 3x^2+6x-4 are 3(x+1)^2-7

Find the zeros of completesquare 3x^2+6x-4

The zeros of completesquare 3x^2+6x-4 are 3(x+1)^2-7

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complete the square

3 x^{2} + 6 x - 4

3 (x + 1)^{2} - 7

Solution steps

3 x^{2} + 6 x - 4

Write

3 x^{2} + 6 x - 4

in the form:

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

Factor out

3

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

3 (x + 1)^{2} - 7

x^{2} - \frac{1}{5} x + 0 = 0

7 x + (3 x^{2} - 4) = (5 x - 1) - (x - 1)

0 = x^{2} - 18 x + 32

- 0.5 x^{2} + 1.05 x + 0.4 = - 8.5

6 = x^{2} + 5 x

What are the solutions to the equation completesquare 3x^2+6x-4 ?
The solutions to the equation completesquare 3x^2+6x-4 are 3(x+1)^2-7
Find the zeros of completesquare 3x^2+6x-4
The zeros of completesquare 3x^2+6x-4 are 3(x+1)^2-7