What are the solutions to the equation completesquare 3x^2-18x+13 ?

The solutions to the equation completesquare 3x^2-18x+13 are 3(x-3)^2-14

Find the zeros of completesquare 3x^2-18x+13

The zeros of completesquare 3x^2-18x+13 are 3(x-3)^2-14

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complete the square

3 x^{2} - 18 x + 13

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

Solution steps

3 x^{2} - 18 x + 13

Write

3 x^{2} - 18 x + 13

in the form:

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

Factor out

3

3 (x^{2} - 6 x + \frac{13}{3})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

3 (x^{2} - 6 x + \frac{13}{3} + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

3 ((x - 3)^{2} + \frac{13}{3} - (- 3)^{2})

Simplify

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

x^{2} - 42 x + 441 = 0

6 t^{2} - 13 t - 12 = - 7

(2 x + 6)^{2} - 8 = 24

n^{2} - 4 = 77

(3 x + 8)^{2} = 12

What are the solutions to the equation completesquare 3x^2-18x+13 ?
The solutions to the equation completesquare 3x^2-18x+13 are 3(x-3)^2-14
Find the zeros of completesquare 3x^2-18x+13
The zeros of completesquare 3x^2-18x+13 are 3(x-3)^2-14