What are the solutions to the equation completesquare 3x^2-18x+1 ?

The solutions to the equation completesquare 3x^2-18x+1 are 3(x-3)^2-26

Find the zeros of completesquare 3x^2-18x+1

The zeros of completesquare 3x^2-18x+1 are 3(x-3)^2-26

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complete the square

3 x^{2} - 18 x + 1

3 (x - 3)^{2} - 26

Solution steps

3 x^{2} - 18 x + 1

Write

3 x^{2} - 18 x + 1

in the form:

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

Factor out

3

3 (x^{2} - 6 x + \frac{1}{3})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

3 (x^{2} - 6 x + \frac{1}{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{1}{3} - (- 3)^{2})

Simplify

3 (x - 3)^{2} - 26

5 w^{2} - 36 w = 32

2 x^{2} + 32 x + 244 = - 12

- x^{2} + 10 = 4 x + 2

(3 x - 9)^{2} = 5 x + 7

c^{2} - 5 c + 9 = 0

What are the solutions to the equation completesquare 3x^2-18x+1 ?
The solutions to the equation completesquare 3x^2-18x+1 are 3(x-3)^2-26
Find the zeros of completesquare 3x^2-18x+1
The zeros of completesquare 3x^2-18x+1 are 3(x-3)^2-26