6/y-6=5/2y-12+4

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Solution for 6/y-6=5/2y-12+4 equation: 


D( y )

y = 0

y = 0

y = 0

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

6/y-6 = (5/2)*y-12+4 // - (5/2)*y-12+4

6/y-((5/2)*y)-6-4+12 = 0

(-5/2)*y+6/y-6-4+12 = 0

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

(2*y^1-5/2*y^2+6*y^0)/(y^1) = 0 // * y^2

y^1*(2*y^1-5/2*y^2+6*y^0) = 0

y^1

(-5/2)*y^2+2*y+6 = 0

(-5/2)*y^2+2*y+6 = 0

DELTA = 2^2-(4*6*(-5/2))

DELTA = 64

DELTA > 0

y = (64^(1/2)-2)/(2*(-5/2)) or y = (-64^(1/2)-2)/(2*(-5/2))

y = -6/5 or y = 2

y in { -6/5, 2} 

y in { -6/5, 2 }

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