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)^2-6

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

The zeros of completesquare x^2+4x-2 are (x+2)^2-6

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complete the square

x^{2} + 4 x - 2

(x + 2)^{2} - 6

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} - 6

x^{2} + 5 + 6 = 0

s^{2} + 2 s + 3

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

5 x^{2} = 17 x - 14

x (2 x - 1) = 3

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)^2-6
Find the zeros of completesquare x^2+4x-2
The zeros of completesquare x^2+4x-2 are (x+2)^2-6