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

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


D( y )

y = 0

y = 0

y = 0

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

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

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

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

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

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

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

y^1

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

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

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

DELTA = 121/16

DELTA > 0

y = ((121/16)^(1/2)-(-5/4))/(2*(-1/2)) or y = (-(-5/4)-(121/16)^(1/2))/(2*(-1/2))

y = -4 or y = 3/2

y in { -4, 3/2} 

y in { -4, 3/2 }

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