What are the solutions to the equation completesquare 3x^2-6x+17 ?

The solutions to the equation completesquare 3x^2-6x+17 are 3(x-1)^2+14

Find the zeros of completesquare 3x^2-6x+17

The zeros of completesquare 3x^2-6x+17 are 3(x-1)^2+14

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complete the square

3 x^{2} - 6 x + 17

3 (x - 1)^{2} + 14

Solution steps

3 x^{2} - 6 x + 17

Write

3 x^{2} - 6 x + 17

in the form:

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

Factor out

3

3 (x^{2} - 2 x + \frac{17}{3})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

3 (x^{2} - 2 x + \frac{17}{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{17}{3} - (- 1)^{2})

Simplify

3 (x - 1)^{2} + 14

x, y^{2} x - x^{2} y = y - 2 x

48 - (10 - 3 + x^{2}) + 2 xx = 4

- x^{2} - 3 x = 4

3 m^{2} - 2 = 1

x^{2} + 14 x - 3 = 0

What are the solutions to the equation completesquare 3x^2-6x+17 ?
The solutions to the equation completesquare 3x^2-6x+17 are 3(x-1)^2+14
Find the zeros of completesquare 3x^2-6x+17
The zeros of completesquare 3x^2-6x+17 are 3(x-1)^2+14