(5t^4-10t^3)/(t^3-2t^2)

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Solution for (5t^4-10t^3)/(t^3-2t^2) equation:


D( t )

t^3-(2*t^2) = 0

t^3-(2*t^2) = 0

t^3-(2*t^2) = 0

t^3-2*t^2 = 0

t^3-2*t^2 = 0

t^2*(t-2) = 0

t-2 = 0 // + 2

t = 2

t^2 = 0

1*t^2 = 0 // : 1

t^2 = 0

t = 0

t in (-oo:0) U (0:2) U (2:+oo)

(5*t^4-(10*t^3))/(t^3-(2*t^2)) = 0

(5*t^4-10*t^3)/(t^3-2*t^2) = 0

5*t^4-10*t^3 = 0

5*t^3*(t-2) = 0

t-2 = 0 // + 2

t = 2

5*t^3*(t-2) = 0

t^3-2*t^2 = 0

t^2*(t-2) = 0

t-2 = 0 // + 2

t = 2

t^2*(t-2) = 0

(5*t^3*(t-2))/(t^2*(t-2)) = 0

( 5*t^3 )

5*t^3 = 0 // : 5

t^3 = 0

t = 0

( t-2 )

t-2 = 0 // + 2

t = 2

t in { 0}

t in { 2}

t belongs to the empty set

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