(4t^2+t)^2/(t-3)^2

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


D( t )

(t-3)^2 = 0

(t-3)^2 = 0

(t-3)^2 = 0

t-3 = 0 // + 3

t = 3

t in (-oo:3) U (3:+oo)

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

4*t^2+t = 0

t*(4*t+1) = 0

4*t+1 = 0 // - 1

4*t = -1 // : 4

t = -1/4

t*(t+1/4) = 0

(t^2*(t+1/4)^2)/((t-3)^2) = 0

( t+1/4 )

t+1/4 = 0 // - 1/4

t = -1/4

( t )

t = 0

t in { -1/4, -1/4, 0, 0 }

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