28u^6-20u^5/(4u^2)

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Solution for 28u^6-20u^5/(4u^2) equation: 


D( u )

4*u^2 = 0

4*u^2 = 0

4*u^2 = 0

4*u^2 = 0 // : 4

u^2 = 0

u = 0

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

28*u^6-((20*u^5)/(4*u^2)) = 0

28*u^6-5*u^3 = 0

t_1 = u^3

28*t_1^2-5*t_1^1 = 0

28*t_1^2-5*t_1 = 0

DELTA = (-5)^2-(0*4*28)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+5)/(2*28) or t_1 = (5-25^(1/2))/(2*28)

t_1 = 5/28 or t_1 = 0

t_1 = 0

u^3+0 = 0

u^3 = 0

1*u^3 = 0 // : 1

u^3 = 0

u = 0

t_1 = 5/28

u^3-5/28 = 0

1*u^3 = 5/28 // : 1

u^3 = 5/28

u^3 = 5/28 // ^ 1/3

u = (5/28)^(1/3)

u in { 0} 

u = (5/28)^(1/3)

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