What are the solutions to the equation completesquare 3x^2-6x+15 ?

The solutions to the equation completesquare 3x^2-6x+15 are 3(x-1)^2+12

Find the zeros of completesquare 3x^2-6x+15

The zeros of completesquare 3x^2-6x+15 are 3(x-1)^2+12

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complete the square

3 x^{2} - 6 x + 15

3 (x - 1)^{2} + 12

Solution steps

3 x^{2} - 6 x + 15

Write

3 x^{2} - 6 x + 15

in the form:

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

Factor out

3

3 (x^{2} - 2 x + 5)

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

3 (x^{2} - 2 x + 5 + (- 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} + 5 - (- 1)^{2})

Simplify

3 (x - 1)^{2} + 12

2 x^{2} + 20 + 10 x = 4 x^{2} + 28

X^{2} - 2 (X) (4) - (- 4)^{2} = 2 (X + 8)

(5 p + 3)^{2} = 8

2 x^{2} - 4 x + 17

2 x^{2} - 6 x = 4 x + 7

What are the solutions to the equation completesquare 3x^2-6x+15 ?
The solutions to the equation completesquare 3x^2-6x+15 are 3(x-1)^2+12
Find the zeros of completesquare 3x^2-6x+15
The zeros of completesquare 3x^2-6x+15 are 3(x-1)^2+12