y/4-1/y=3/4

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


D( y )

y = 0

y = 0

y = 0

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

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

y/4-(1/y)-(3/4) = 0

y/4-y^-1-3/4 = 0

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

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

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

y^1

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

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

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

DELTA = 25/16

DELTA > 0

y = ((25/16)^(1/2)-(-3/4))/(2*(1/4)) or y = (-(-3/4)-(25/16)^(1/2))/(2*(1/4))

y = 4 or y = -1

y in { -1, 4} 

y in { -1, 4 }

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