(12u^6-15u^4)/(3u^3)

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Solution for (12u^6-15u^4)/(3u^3) equation:


D( u )

3*u^3 = 0

3*u^3 = 0

3*u^3 = 0

3*u^3 = 0 // : 3

u^3 = 0

u = 0

u in (-oo:0) U (0:+oo)

(12*u^6-(15*u^4))/(3*u^3) = 0

(12*u^6-15*u^4)/(3*u^3) = 0

12*u^6-15*u^4 = 0

3*u^4*(4*u^2-5) = 0

4*u^2 = 5 // : 4

u^2 = 5/4

u^2 = 5/4 // ^ 1/2

abs(u) = (5/4)^(1/2)

u = (5/4)^(1/2) or u = -(5/4)^(1/2)

3*u^4*(u-(5/4)^(1/2))*(u+(5/4)^(1/2)) = 0

(3*u^4*(u-(5/4)^(1/2))*(u+(5/4)^(1/2)))/(3*u^3) = 0

( 3*u^4 )

3*u^4 = 0 // : 3

u^4 = 0

u = 0

( u+(5/4)^(1/2) )

u+(5/4)^(1/2) = 0 // - (5/4)^(1/2)

u = -(5/4)^(1/2)

( u-(5/4)^(1/2) )

u-(5/4)^(1/2) = 0 // + (5/4)^(1/2)

u = (5/4)^(1/2)

u in { 0}

u in { -(5/4)^(1/2), (5/4)^(1/2) }

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