(4x-x^2)/(x^2-6x+8)

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Solution for (4x-x^2)/(x^2-6x+8) equation: 


D( x )

x^2-(6*x)+8 = 0

x^2-(6*x)+8 = 0

x^2-(6*x)+8 = 0

x^2-6*x+8 = 0

x^2-6*x+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)

x = 4 or x = 2

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

(4*x-x^2)/(x^2-(6*x)+8) = 0

(4*x-x^2)/(x^2-6*x+8) = 0

4*x-x^2 = 0

x*(4-x) = 0

4-x = 0 // - 4

-x = -4 // * -1

x = 4

x*(x-4) = 0

x^2-6*x+8 = 0

x^2-6*x+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)

x = 4 or x = 2

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

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

( x-4 )

x-4 = 0 // + 4

x = 4

( x )

x = 0

x in { 4} 

x = 0

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