What are the solutions to the equation completesquare 9x^2-6x+2 ?

The solutions to the equation completesquare 9x^2-6x+2 are 9(x-1/3)^2+1

Find the zeros of completesquare 9x^2-6x+2

The zeros of completesquare 9x^2-6x+2 are 9(x-1/3)^2+1

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complete the square

9 x^{2} - 6 x + 2

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

Solution steps

9 x^{2} - 6 x + 2

Write

9 x^{2} - 6 x + 2

in the form:

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

Factor out

9

9 (x^{2} - \frac{2 x}{3} + \frac{2}{9})

2 a = - \frac{2}{3} : a = - \frac{1}{3}

Add and subtract

(- \frac{1}{3})^{2}

9 (x^{2} - \frac{2 x}{3} + \frac{2}{9} + (- \frac{1}{3})^{2} - (- \frac{1}{3})^{2})

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

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

9 ((x - \frac{1}{3})^{2} + \frac{2}{9} - (- \frac{1}{3})^{2})

Simplify

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

m^{2} + 10 m - 17 = 0

2 x^{2} - 44 x + 224 = 0

x^{2} - 8 x - 1 = 0

t, s t + t = t^{2} + s

y^{2} - 18 y + 45 = 0

What are the solutions to the equation completesquare 9x^2-6x+2 ?
The solutions to the equation completesquare 9x^2-6x+2 are 9(x-1/3)^2+1
Find the zeros of completesquare 9x^2-6x+2
The zeros of completesquare 9x^2-6x+2 are 9(x-1/3)^2+1