(u^4-4u^3)/(u-2)^2

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Solution for (u^4-4u^3)/(u-2)^2 equation: 


D( u )

(u-2)^2 = 0

(u-2)^2 = 0

(u-2)^2 = 0

u-2 = 0 // + 2

u = 2

u in (-oo:2) U (2:+oo)

(u^4-(4*u^3))/((u-2)^2) = 0

(u^4-4*u^3)/((u-2)^2) = 0

u^4-4*u^3 = 0

u^3*(u-4) = 0

u-4 = 0 // + 4

u = 4

u^3*(u-4) = 0

(u^3*(u-4))/((u-2)^2) = 0

( u-4 )

u-4 = 0 // + 4

u = 4

( u^3 )

1*u^3 = 0 // : 1

u^3 = 0

u = 0

u in { 4, 0 }

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