(18y^7-12y^3)/(3y^3)

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Solution for (18y^7-12y^3)/(3y^3) equation:


D( y )

3*y^3 = 0

3*y^3 = 0

3*y^3 = 0

3*y^3 = 0 // : 3

y^3 = 0

y = 0

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

(18*y^7-(12*y^3))/(3*y^3) = 0

(18*y^7-12*y^3)/(3*y^3) = 0

18*y^7-12*y^3 = 0

6*y^3*(3*y^4-2) = 0

3*y^4 = 2 // : 3

y^4 = 2/3

y^4 = 2/3 // ^ 1/4

abs(y) = (2/3)^(1/4)

y = (2/3)^(1/4) or y = -(2/3)^(1/4)

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

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

( 6*y^3 )

6*y^3 = 0 // : 6

y^3 = 0

y = 0

( y+(2/3)^(1/4) )

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

y = -(2/3)^(1/4)

( y-(2/3)^(1/4) )

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

y = (2/3)^(1/4)

y in { 0}

y in { -(2/3)^(1/4), (2/3)^(1/4) }

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