2/5y-1/y

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Solution for 2/5y-1/y equation: 


D( y )

y = 0

y = 0

y = 0

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

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

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

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

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

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

y^1

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

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

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

DELTA = 8/5

DELTA > 0

y = ((8/5)^(1/2)+0)/(2*(2/5)) or y = (0-(8/5)^(1/2))/(2*(2/5))

y = 5/4*(8/5)^(1/2) or y = 5/4*(8/5)^(1/2)

y in { 5/4*(8/5)^(1/2), 5/4*(8/5)^(1/2)} 

y in { 5/4*(8/5)^(1/2), 5/4*(8/5)^(1/2) }

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