(x^2-25)/(x^2-2x-15)

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Solution for (x^2-25)/(x^2-2x-15) equation: 


D( x )

x^2-(2*x)-15 = 0

x^2-(2*x)-15 = 0

x^2-(2*x)-15 = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

x in (-oo:-3) U (-3:5) U (5:+oo)

(x^2-25)/(x^2-(2*x)-15) = 0

(x^2-25)/(x^2-2*x-15) = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

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

(x^2-25)/((x+3)*(x-5)) = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in { 5} 

x = -5

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