What are the solutions to the equation completesquare s^2+8s+16 ?

The solutions to the equation completesquare s^2+8s+16 are (s+4)^2

Find the zeros of completesquare s^2+8s+16

The zeros of completesquare s^2+8s+16 are (s+4)^2

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complete the square

s^{2} + 8 s + 16

(s + 4)^{2}

Solution steps

s^{2} + 8 s + 16

Write

s^{2} + 8 s + 16

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

s^{2} + 8 s + 16 + 4^{2} - 4^{2}

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

s^{2} + 8 s + 4^{2} = (s + 4)^{2}

(s + 4)^{2} + 16 - 4^{2}

Simplify

(s + 4)^{2}

w^{2} + 6 w - 7 = 0

s^{2} + 8 s + 20

12 x^{2} - 4 x - 40 = 0

2 x^{2} + B x + 3 = 0

5 x^{2} + 7 + 3 x = - 3 x

What are the solutions to the equation completesquare s^2+8s+16 ?
The solutions to the equation completesquare s^2+8s+16 are (s+4)^2
Find the zeros of completesquare s^2+8s+16
The zeros of completesquare s^2+8s+16 are (s+4)^2