What are the solutions to the equation completesquare 3x^2-12x-11 ?

The solutions to the equation completesquare 3x^2-12x-11 are 3(x-2)^2-23

Find the zeros of completesquare 3x^2-12x-11

The zeros of completesquare 3x^2-12x-11 are 3(x-2)^2-23

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complete the square

3 x^{2} - 12 x - 11

3 (x - 2)^{2} - 23

Solution steps

3 x^{2} - 12 x - 11

Write

3 x^{2} - 12 x - 11

in the form:

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

Factor out

3

3 (x^{2} - 4 x - \frac{11}{3})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

3 (x^{2} - 4 x - \frac{11}{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{11}{3} - (- 2)^{2})

Simplify

3 (x - 2)^{2} - 23

A = x^{2} + 12 x + 27

x^{2} - 6 x + 15 = 10

0.02 x^{2} - 0.3 x = 20

4 x^{2} + 10 x - 4 = 0

(x + 5) 2 + 6 = 2 (x + 4) (x + 2)

What are the solutions to the equation completesquare 3x^2-12x-11 ?
The solutions to the equation completesquare 3x^2-12x-11 are 3(x-2)^2-23
Find the zeros of completesquare 3x^2-12x-11
The zeros of completesquare 3x^2-12x-11 are 3(x-2)^2-23