5y^3/8*3/y=15y/8

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Solution for 5y^3/8*3/y=15y/8 equation: 


D( y )

y = 0

y = 0

y = 0

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

(3*((5*y^3)/8))/y = (15*y)/8 // - (15*y)/8

(3*((5*y^3)/8))/y-((15*y)/8) = 0

(3*((5*y^3)/8))/y+(-15/8)*y = 0

15/8*y^2-15/8*y = 0

DELTA = (-15/8)^2-(0*15/8*4)

DELTA = 225/64

DELTA > 0

y = ((225/64)^(1/2)+15/8)/(15/8*2) or y = (15/8-(225/64)^(1/2))/(15/8*2)

y = 1 or y = 0

y in { 0} 

y = 1

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