What are the solutions to the equation completesquare 3x^2+18x+8 ?

The solutions to the equation completesquare 3x^2+18x+8 are 3(x+3)^2-19

Find the zeros of completesquare 3x^2+18x+8

The zeros of completesquare 3x^2+18x+8 are 3(x+3)^2-19

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complete the square

3 x^{2} + 18 x + 8

3 (x + 3)^{2} - 19

Solution steps

3 x^{2} + 18 x + 8

Write

3 x^{2} + 18 x + 8

in the form:

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

Factor out

3

3 (x^{2} + 6 x + \frac{8}{3})

2 a = 6 : a = 3

Add and subtract

3^{2}

3 (x^{2} + 6 x + \frac{8}{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{8}{3} - 3^{2})

Simplify

3 (x + 3)^{2} - 19

x, x^{2} + y^{2} = y^{3} + 2 x - y

4 x^{2} - 3 = 12 x

- 2 x^{2} + x - 4 = 0

x^{2} - 6 x + 4

6 x^{2} - 36 x + 72 = 0

What are the solutions to the equation completesquare 3x^2+18x+8 ?
The solutions to the equation completesquare 3x^2+18x+8 are 3(x+3)^2-19
Find the zeros of completesquare 3x^2+18x+8
The zeros of completesquare 3x^2+18x+8 are 3(x+3)^2-19