(x^2-8x-65)/(x+3)

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Solution for (x^2-8x-65)/(x+3) equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

(x^2-(8*x)-65)/(x+3) = 0

(x^2-8*x-65)/(x+3) = 0

x^2-8*x-65 = 0

x^2-8*x-65 = 0

DELTA = (-8)^2-(-65*1*4)

DELTA = 324

DELTA > 0

x = (324^(1/2)+8)/(1*2) or x = (8-324^(1/2))/(1*2)

x = 13 or x = -5

(x+5)*(x-13) = 0

((x+5)*(x-13))/(x+3) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-13 )

x-13 = 0 // + 13

x = 13

x in { -5, 13 }

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