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} + 16 x = 0

x (2 x - 1) - 3 (x - 5) = (3 x - 1) (2 + x) - 5

(1.2)^{2} + x^{2} = 1. 8^{2}

- 3 x (x + 5) = 0

x^{2} = - 4 x - 3

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