What are the solutions to the equation completesquare 3x^2+6x-1 ?

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

Find the zeros of completesquare 3x^2+6x-1

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

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complete the square

3 x^{2} + 6 x - 1

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

Solution steps

3 x^{2} + 6 x - 1

Write

3 x^{2} + 6 x - 1

in the form:

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

Factor out

3

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

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

9 x^{2} - 32 = 0

x^{2} + 9 x - 1 = 3 x - 10

x^{2} + 10 x - 80 = 0

x^{2} - 2 x + 1 = 81

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

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