What are the solutions to the equation completesquare s^2+2s+3 ?

The solutions to the equation completesquare s^2+2s+3 are (s+1)^2+2

Find the zeros of completesquare s^2+2s+3

The zeros of completesquare s^2+2s+3 are (s+1)^2+2

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complete the square

s^{2} + 2 s + 3

(s + 1)^{2} + 2

Solution steps

s^{2} + 2 s + 3

Write

s^{2} + 2 s + 3

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

s^{2} + 2 s + 3 + 1^{2} - 1^{2}

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

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

(s + 1)^{2} + 3 - 1^{2}

Simplify

(s + 1)^{2} + 2

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

5 x^{2} = 17 x - 14

x (2 x - 1) = 3

r^{2} + r + 4 = 0

0 = - x^{2} - 6 x - 7

What are the solutions to the equation completesquare s^2+2s+3 ?
The solutions to the equation completesquare s^2+2s+3 are (s+1)^2+2
Find the zeros of completesquare s^2+2s+3
The zeros of completesquare s^2+2s+3 are (s+1)^2+2