What are the solutions to the equation completesquare 3x^2-8x+4 ?

The solutions to the equation completesquare 3x^2-8x+4 are 3(x-4/3)^2-4/3

Find the zeros of completesquare 3x^2-8x+4

The zeros of completesquare 3x^2-8x+4 are 3(x-4/3)^2-4/3

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complete the square

3 x^{2} - 8 x + 4

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

Solution steps

3 x^{2} - 8 x + 4

Write

3 x^{2} - 8 x + 4

in the form:

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

Factor out

3

3 (x^{2} - \frac{8 x}{3} + \frac{4}{3})

2 a = - \frac{8}{3} : a = - \frac{4}{3}

Add and subtract

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

3 (x^{2} - \frac{8 x}{3} + \frac{4}{3} + (- \frac{4}{3})^{2} - (- \frac{4}{3})^{2})

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

x^{2} - \frac{8}{3} x + (- \frac{4}{3})^{2} = (x - \frac{4}{3})^{2}

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

Simplify

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

n^{2} - 11 n + 28 = 0

x^{2} + 13 x - 140 = 0

2 k (k - 4) = 1

x, z^{2} = x^{2} + y^{2}

x^{2} - 6 x - 20 = 20

What are the solutions to the equation completesquare 3x^2-8x+4 ?
The solutions to the equation completesquare 3x^2-8x+4 are 3(x-4/3)^2-4/3
Find the zeros of completesquare 3x^2-8x+4
The zeros of completesquare 3x^2-8x+4 are 3(x-4/3)^2-4/3