(5x^2-20x)/(x^2-2x-8)

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Solution for (5x^2-20x)/(x^2-2x-8) equation: 


D( x )

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

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

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

x^2-2*x-8 = 0

x^2-2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

x in (-oo:-2) U (-2:4) U (4:+oo)

(5*x^2-(20*x))/(x^2-(2*x)-8) = 0

(5*x^2-20*x)/(x^2-2*x-8) = 0

5*x^2-20*x = 0

5*x*(x-4) = 0

x-4 = 0 // + 4

x = 4

5*x*(x-4) = 0

x^2-2*x-8 = 0

x^2-2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

(x+2)*(x-4) = 0

(5*x*(x-4))/((x+2)*(x-4)) = 0

( 5*x )

5*x = 0 // : 5

x = 0

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 4} 

x = 0

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