What are the solutions to the equation completesquare 3x^2+6x+7 ?

The solutions to the equation completesquare 3x^2+6x+7 are 3(x+1)^2+4

Find the zeros of completesquare 3x^2+6x+7

The zeros of completesquare 3x^2+6x+7 are 3(x+1)^2+4

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complete the square

3 x^{2} + 6 x + 7

3 (x + 1)^{2} + 4

Solution steps

3 x^{2} + 6 x + 7

Write

3 x^{2} + 6 x + 7

in the form:

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

Factor out

3

3 (x^{2} + 2 x + \frac{7}{3})

2 a = 2 : a = 1

Add and subtract

1^{2}

3 (x^{2} + 2 x + \frac{7}{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{7}{3} - 1^{2})

Simplify

3 (x + 1)^{2} + 4

3 x^{2} + 6 x + 4

x, k x^{2} + 3 k x + 6 = 0

x (x + 7) = x + 7

m^{2} - 8 m + 41 = 0

- 6 x^{2} + 32 = 0

What are the solutions to the equation completesquare 3x^2+6x+7 ?
The solutions to the equation completesquare 3x^2+6x+7 are 3(x+1)^2+4
Find the zeros of completesquare 3x^2+6x+7
The zeros of completesquare 3x^2+6x+7 are 3(x+1)^2+4