What are the solutions to the equation completesquare x^2+4x+2 ?

The solutions to the equation completesquare x^2+4x+2 are (x+2)^2-2

Find the zeros of completesquare x^2+4x+2

The zeros of completesquare x^2+4x+2 are (x+2)^2-2

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complete the square

x^{2} + 4 x + 2

(x + 2)^{2} - 2

Solution steps

x^{2} + 4 x + 2

Write

x^{2} + 4 x + 2

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

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

x^{2} + 4 x + 2^{2} = (x + 2)^{2}

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

Simplify

(x + 2)^{2} - 2

x^{2} + 4 x - 6

x^{2} - 2 x + 1 = 0

- 0.3 x^{2} + 70 = 0.1 x^{2} + x + 20

- (x + 2) (x - 1) = 3

x^{2} + 4 x - 3 = 5

What are the solutions to the equation completesquare x^2+4x+2 ?
The solutions to the equation completesquare x^2+4x+2 are (x+2)^2-2
Find the zeros of completesquare x^2+4x+2
The zeros of completesquare x^2+4x+2 are (x+2)^2-2