What are the solutions to the equation completesquare 3x^2-12x-1 ?

The solutions to the equation completesquare 3x^2-12x-1 are 3(x-2)^2-13

Find the zeros of completesquare 3x^2-12x-1

The zeros of completesquare 3x^2-12x-1 are 3(x-2)^2-13

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complete the square

3 x^{2} - 12 x - 1

3 (x - 2)^{2} - 13

Solution steps

3 x^{2} - 12 x - 1

Write

3 x^{2} - 12 x - 1

in the form:

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

Factor out

3

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

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

Simplify

3 (x - 2)^{2} - 13

5^{2} + 6^{2} = x^{2}

4 x^{2} + 2 x - 1 = - 10 (x + 1)

4 x^{2} + 8 x = - 3

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

(x - 3) (x + 1) = 0

What are the solutions to the equation completesquare 3x^2-12x-1 ?
The solutions to the equation completesquare 3x^2-12x-1 are 3(x-2)^2-13
Find the zeros of completesquare 3x^2-12x-1
The zeros of completesquare 3x^2-12x-1 are 3(x-2)^2-13