What are the solutions to the equation completesquare s^2+2s+1 ?

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

Find the zeros of completesquare s^2+2s+1

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

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complete the square

s^{2} + 2 s + 1

(s + 1)^{2}

Solution steps

s^{2} + 2 s + 1

Write

s^{2} + 2 s + 1

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

(s + 1)^{2}

8 x^{2} - 4 x + 19 = 0

10 x^{2} - 7 x - 3 = 0

2 x^{2} - 48 x + 288 = 0

c^{2} + 3 c + 5 = 0

x^{2} - 6 = - 7 x

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