What are the solutions to the equation completesquare s^2+4s+12 ?

The solutions to the equation completesquare s^2+4s+12 are (s+2)^2+8

Find the zeros of completesquare s^2+4s+12

The zeros of completesquare s^2+4s+12 are (s+2)^2+8

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complete the square

s^{2} + 4 s + 12

(s + 2)^{2} + 8

Solution steps

s^{2} + 4 s + 12

Write

s^{2} + 4 s + 12

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

s^{2} + 4 s + 12 + 2^{2} - 2^{2}

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

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

(s + 2)^{2} + 12 - 2^{2}

Simplify

(s + 2)^{2} + 8

x^{2} - \frac{25}{4} = 0

x, 2 x^{2} - 3 x - 15 = 0

- 7 x + x^{2} = 0

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

a x^{2} + x + a = 0

What are the solutions to the equation completesquare s^2+4s+12 ?
The solutions to the equation completesquare s^2+4s+12 are (s+2)^2+8
Find the zeros of completesquare s^2+4s+12
The zeros of completesquare s^2+4s+12 are (s+2)^2+8