((5/2y)-(1/y))=3/4

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Solution for ((5/2y)-(1/y))=3/4 equation: 


D( y )

y = 0

y = 0

y = 0

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

(5/2)*y-(1/y) = 3/4 // - 3/4

(5/2)*y-(1/y)-(3/4) = 0

(5/2)*y-y^-1-3/4 = 0

5/2*y^1-1*y^-1-3/4*y^0 = 0

(5/2*y^2-3/4*y^1-1*y^0)/(y^1) = 0 // * y^2

y^1*(5/2*y^2-3/4*y^1-1*y^0) = 0

y^1

(5/2)*y^2+(-3/4)*y-1 = 0

(5/2)*y^2+(-3/4)*y-1 = 0

DELTA = (-3/4)^2-(-1*4*(5/2))

DELTA = 169/16

DELTA > 0

y = ((169/16)^(1/2)-(-3/4))/(2*(5/2)) or y = (-(-3/4)-(169/16)^(1/2))/(2*(5/2))

y = 4/5 or y = -1/2

y in { -1/2, 4/5} 

y in { -1/2, 4/5 }

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