(s^2-5s-36)/(s+2)

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Solution for (s^2-5s-36)/(s+2) equation: 


D( s )

s+2 = 0

s+2 = 0

s+2 = 0

s+2 = 0 // - 2

s = -2

s in (-oo:-2) U (-2:+oo)

(s^2-(5*s)-36)/(s+2) = 0

(s^2-5*s-36)/(s+2) = 0

s^2-5*s-36 = 0

s^2-5*s-36 = 0

DELTA = (-5)^2-(-36*1*4)

DELTA = 169

DELTA > 0

s = (169^(1/2)+5)/(1*2) or s = (5-169^(1/2))/(1*2)

s = 9 or s = -4

(s+4)*(s-9) = 0

((s+4)*(s-9))/(s+2) = 0

( s+4 )

s+4 = 0 // - 4

s = -4

( s-9 )

s-9 = 0 // + 9

s = 9

s in { -4, 9 }

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