4/y-5/2y

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Solution for 4/y-5/2y equation: 


D( y )

y = 0

y = 0

y = 0

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

4/y-((5/2)*y) = 0

(-5/2)*y+4/y = 0

4*y^-1-5/2*y^1 = 0

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

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

y^1

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

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

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

DELTA = 40

DELTA > 0

y = (40^(1/2)+0)/(2*(-5/2)) or y = (0-40^(1/2))/(2*(-5/2))

y = (2*10^(1/2))/(-5) or y = (-2*10^(1/2))/(-5)

y in { (2*10^(1/2))/(-5), (-2*10^(1/2))/(-5)} 

y in { (2*10^(1/2))/(-5), (-2*10^(1/2))/(-5) }

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