What are the solutions to the equation completesquare 3x^2-12x+5 ?

The solutions to the equation completesquare 3x^2-12x+5 are 3(x-2)^2-7

Find the zeros of completesquare 3x^2-12x+5

The zeros of completesquare 3x^2-12x+5 are 3(x-2)^2-7

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complete the square

3 x^{2} - 12 x + 5

3 (x - 2)^{2} - 7

Solution steps

3 x^{2} - 12 x + 5

Write

3 x^{2} - 12 x + 5

in the form:

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

Factor out

3

3 (x^{2} - 4 x + \frac{5}{3})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

3 (x^{2} - 4 x + \frac{5}{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{5}{3} - (- 2)^{2})

Simplify

3 (x - 2)^{2} - 7

2 x^{2} - 3 x - 20 = x^{2} + 34

2 x^{2} + 2 = 10

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

x^{2} - 20 + 12 = 0

0 = 3 x (x - 1) - (3 x + 7)

What are the solutions to the equation completesquare 3x^2-12x+5 ?
The solutions to the equation completesquare 3x^2-12x+5 are 3(x-2)^2-7
Find the zeros of completesquare 3x^2-12x+5
The zeros of completesquare 3x^2-12x+5 are 3(x-2)^2-7