What are the solutions to the equation completesquare 3x^2-6x+4 ?

The solutions to the equation completesquare 3x^2-6x+4 are 3(x-1)^2+1

Find the zeros of completesquare 3x^2-6x+4

The zeros of completesquare 3x^2-6x+4 are 3(x-1)^2+1

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complete the square

3 x^{2} - 6 x + 4

3 (x - 1)^{2} + 1

Solution steps

3 x^{2} - 6 x + 4

Write

3 x^{2} - 6 x + 4

in the form:

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

Factor out

3

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

Simplify

3 (x - 1)^{2} + 1

- 3 x^{2} + 30 x - 75 = 0

x^{2} = 4 x - 15

x, x^{2} + m^{2} x (m - 2) = 2 m^{5}

x, x^{2} + 5 x y + 8 y^{2} - 10 x + 3 y + 10 = 0

- 2 x^{2} + 16 = 0

What are the solutions to the equation completesquare 3x^2-6x+4 ?
The solutions to the equation completesquare 3x^2-6x+4 are 3(x-1)^2+1
Find the zeros of completesquare 3x^2-6x+4
The zeros of completesquare 3x^2-6x+4 are 3(x-1)^2+1