5/2y-1/y

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


D( y )

y = 0

y = 0

y = 0

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

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

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

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

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

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

y^1

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

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

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

DELTA = 10

DELTA > 0

y = (10^(1/2)+0)/(2*(5/2)) or y = (0-10^(1/2))/(2*(5/2))

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

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

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

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