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

The solutions to the equation completesquare x^2+2x+6 are (x+1)^2+5

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

The zeros of completesquare x^2+2x+6 are (x+1)^2+5

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complete the square

x^{2} + 2 x + 6

(x + 1)^{2} + 5

Solution steps

x^{2} + 2 x + 6

Write

x^{2} + 2 x + 6

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 6 + 1^{2} - 1^{2}

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

(x + 1)^{2} + 6 - 1^{2}

Simplify

(x + 1)^{2} + 5

2 (a x^{2} - b^{3}) = b x (4 b - a)

2 x^{2} + x + 2

r^{2} + 5 r - 72 = 0

2 x^{2} - x = 14

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

What are the solutions to the equation completesquare x^2+2x+6 ?
The solutions to the equation completesquare x^2+2x+6 are (x+1)^2+5
Find the zeros of completesquare x^2+2x+6
The zeros of completesquare x^2+2x+6 are (x+1)^2+5