14/y-6/2=2y-2

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Solution for 14/y-6/2=2y-2 equation:


D( y )

y = 0

y = 0

y = 0

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

14/y-(6/2) = 2*y-2 // - 2*y-2

14/y-(2*y)-(6/2)+2 = 0

14/y-2*y-3+2 = 0

14*y^-1-2*y^1-1*y^0 = 0

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

y^1*(14*y^0-2*y^2-1*y^1) = 0

y^1

14-2*y^2-y = 0

14-2*y^2-y = 0

DELTA = (-1)^2-(-2*4*14)

DELTA = 113

DELTA > 0

y = (113^(1/2)+1)/(-2*2) or y = (1-113^(1/2))/(-2*2)

y = (113^(1/2)+1)/(-4) or y = (1-113^(1/2))/(-4)

y in { (113^(1/2)+1)/(-4), (1-113^(1/2))/(-4)}

y in { (113^(1/2)+1)/(-4), (1-113^(1/2))/(-4) }

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