What are the solutions to the equation completesquare x^2+2x+5 ?

The solutions to the equation completesquare x^2+2x+5 are (x+1)^2+4

Find the zeros of completesquare x^2+2x+5

The zeros of completesquare x^2+2x+5 are (x+1)^2+4

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complete the square

x^{2} + 2 x + 5

(x + 1)^{2} + 4

Solution steps

x^{2} + 2 x + 5

Write

x^{2} + 2 x + 5

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 5 + 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} + 5 - 1^{2}

Simplify

(x + 1)^{2} + 4

x^{2} + 7 = - 47

x^{2} + 10 x

x, x^{2} + y^{2} + 4 x - 8 y + 20 = 0

x + 11 = 10 x^{2}

3 x^{2} + 12 x - 21 = 0

What are the solutions to the equation completesquare x^2+2x+5 ?
The solutions to the equation completesquare x^2+2x+5 are (x+1)^2+4
Find the zeros of completesquare x^2+2x+5
The zeros of completesquare x^2+2x+5 are (x+1)^2+4