What are the solutions to the equation completesquare x^2+4x+6 ?

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

Find the zeros of completesquare x^2+4x+6

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

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complete the square

x^{2} + 4 x + 6

(x + 2)^{2} + 2

Solution steps

x^{2} + 4 x + 6

Write

x^{2} + 4 x + 6

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

x^{2} + 4 x + 6 + 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} + 6 - 2^{2}

Simplify

(x + 2)^{2} + 2

x^{2} + 4 x + 9

s^{2} + 4 s + 2 = 0

c^{2} - 20 = 44

x, f = 5 x^{2} y^{2} - 2 x y^{3}

- 2 x^{2} = 7 x - 15

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