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

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

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

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

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complete the square

x^{2} + 6 x + 2

(x + 3)^{2} - 7

Solution steps

x^{2} + 6 x + 2

Write

x^{2} + 6 x + 2

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x + 2 + 3^{2} - 3^{2}

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

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

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

Simplify

(x + 3)^{2} - 7

x^{2} + 6 x + 1

x^{2} + 6 x + 7 = 0

x^{2} - 8 x + 12 = 0

x^{2} + 6 x = - 4

x^{2} + 6 x = 19

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