(x^2-25)/(x^2-6x-16)

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Solution for (x^2-25)/(x^2-6x-16) equation: 


D( x )

x^2-(6*x)-16 = 0

x^2-(6*x)-16 = 0

x^2-(6*x)-16 = 0

x^2-6*x-16 = 0

x^2-6*x-16 = 0

DELTA = (-6)^2-(-16*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+6)/(1*2) or x = (6-100^(1/2))/(1*2)

x = 8 or x = -2

x in (-oo:-2) U (-2:8) U (8:+oo)

(x^2-25)/(x^2-(6*x)-16) = 0

(x^2-25)/(x^2-6*x-16) = 0

x^2-6*x-16 = 0

x^2-6*x-16 = 0

DELTA = (-6)^2-(-16*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+6)/(1*2) or x = (6-100^(1/2))/(1*2)

x = 8 or x = -2

(x+2)*(x-8) = 0

(x^2-25)/((x+2)*(x-8)) = 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, -5 }

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