(15y^6-27y^4)/(3y^3)

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Solution for (15y^6-27y^4)/(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)

(15*y^6-(27*y^4))/(3*y^3) = 0

(15*y^6-27*y^4)/(3*y^3) = 0

15*y^6-27*y^4 = 0

3*y^4*(5*y^2-9) = 0

5*y^2 = 9 // : 5

y^2 = 9/5

y^2 = 9/5 // ^ 1/2

abs(y) = (9/5)^(1/2)

y = (9/5)^(1/2) or y = -(9/5)^(1/2)

3*y^4*(y-(9/5)^(1/2))*(y+(9/5)^(1/2)) = 0

(3*y^4*(y-(9/5)^(1/2))*(y+(9/5)^(1/2)))/(3*y^3) = 0

( 3*y^4 )

3*y^4 = 0 // : 3

y^4 = 0

y = 0

( y+(9/5)^(1/2) )

y+(9/5)^(1/2) = 0 // - (9/5)^(1/2)

y = -(9/5)^(1/2)

( y-(9/5)^(1/2) )

y-(9/5)^(1/2) = 0 // + (9/5)^(1/2)

y = (9/5)^(1/2)

y in { 0}

y in { -(9/5)^(1/2), (9/5)^(1/2) }

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