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)^2-11

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

The zeros of completesquare 3x^2-12x+1 are 3(x-2)^2-11

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complete the square

3 x^{2} - 12 x + 1

3 (x - 2)^{2} - 11

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} - 11

4 y^{2} + 9 - 12 y = 5

x, x^{2} - 2 x + 2 = 0

y, f = x^{23} - 10 y + 15 x y^{2}

x^{2} - 19 = 0

x^{2} + 3 x + 28 = 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)^2-11
Find the zeros of completesquare 3x^2-12x+1
The zeros of completesquare 3x^2-12x+1 are 3(x-2)^2-11