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

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


D( x )

(4-x)^2 = 0

(4-x)^2 = 0

(4-x)^2 = 0

4-x = 0 // - 4

-x = -4 // * -1

x = 4

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

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

8*x-x^2 = 0

x*(8-x) = 0

8-x = 0 // - 8

-x = -8 // * -1

x = 8

x*(x-8) = 0

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

( x-8 )

x-8 = 0 // + 8

x = 8

( x )

x = 0

x in { 8, 0 }

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