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

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

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

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

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complete the square

s^{2} + 2 s + 5

(s + 1)^{2} + 4

Solution steps

s^{2} + 2 s + 5

Write

s^{2} + 2 s + 5

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

(s + 1)^{2} + 4

- 3 x^{2} + 12 = 0

x^{2} = - 9 x + 8

3 y^{2} - 75 = 0

x^{2} - \frac{5}{4} x + \frac{1}{4} = 0

7 x^{2} + 7 x - 84 = 0

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