What are the solutions to the equation completesquare s^2+8s+25 ?

The solutions to the equation completesquare s^2+8s+25 are (s+4)^2+9

Find the zeros of completesquare s^2+8s+25

The zeros of completesquare s^2+8s+25 are (s+4)^2+9

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complete the square

s^{2} + 8 s + 25

(s + 4)^{2} + 9

Solution steps

s^{2} + 8 s + 25

Write

s^{2} + 8 s + 25

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

s^{2} + 8 s + 25 + 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} + 25 - 4^{2}

Simplify

(s + 4)^{2} + 9

x^{2} + x - 15 = 0

(8 x^{2} - 15 x) - (x^{2} - 27 x) = a x^{2} + b x

3 x^{2} - 6 = x^{2} + 2

- 2 x^{2} - 3 x + 1 = 0

x, x^{2} + y^{2} = 4

What are the solutions to the equation completesquare s^2+8s+25 ?
The solutions to the equation completesquare s^2+8s+25 are (s+4)^2+9
Find the zeros of completesquare s^2+8s+25
The zeros of completesquare s^2+8s+25 are (s+4)^2+9