(s^2-3s-28)/(s+2)

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Solution for (s^2-3s-28)/(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-(3*s)-28)/(s+2) = 0

(s^2-3*s-28)/(s+2) = 0

s^2-3*s-28 = 0

s^2-3*s-28 = 0

DELTA = (-3)^2-(-28*1*4)

DELTA = 121

DELTA > 0

s = (121^(1/2)+3)/(1*2) or s = (3-121^(1/2))/(1*2)

s = 7 or s = -4

(s+4)*(s-7) = 0

((s+4)*(s-7))/(s+2) = 0

( s+4 )

s+4 = 0 // - 4

s = -4

( s-7 )

s-7 = 0 // + 7

s = 7

s in { -4, 7 }

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