(18Z^7-14Z^5)/(2Z^3)

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Solution for (18Z^7-14Z^5)/(2Z^3) equation: 


D( Z )

2*Z^3 = 0

2*Z^3 = 0

2*Z^3 = 0

2*Z^3 = 0 // : 2

Z^3 = 0

Z = 0

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

(18*Z^7-(14*Z^5))/(2*Z^3) = 0

(18*Z^7-14*Z^5)/(2*Z^3) = 0

18*Z^7-14*Z^5 = 0

2*Z^5*(9*Z^2-7) = 0

9*Z^2 = 7 // : 9

Z^2 = 7/9

Z^2 = 7/9 // ^ 1/2

abs(Z) = (7/9)^(1/2)

Z = (7/9)^(1/2) or Z = -(7/9)^(1/2)

2*Z^5*(Z-(7/9)^(1/2))*(Z+(7/9)^(1/2)) = 0

(2*Z^5*(Z-(7/9)^(1/2))*(Z+(7/9)^(1/2)))/(2*Z^3) = 0

( 2*Z^5 )

2*Z^5 = 0 // : 2

Z^5 = 0

Z = 0

( Z+(7/9)^(1/2) )

Z+(7/9)^(1/2) = 0 // - (7/9)^(1/2)

Z = -(7/9)^(1/2)

( Z-(7/9)^(1/2) )

Z-(7/9)^(1/2) = 0 // + (7/9)^(1/2)

Z = (7/9)^(1/2)

Z in { 0} 

Z in { -(7/9)^(1/2), (7/9)^(1/2) }

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