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+6/2+2 = 0

14*y^-1-2*y^1+5*y^0 = 0

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

y^1*(5*y^1-2*y^2+14*y^0) = 0

y^1

5*y-2*y^2+14 = 0

5*y-2*y^2+14 = 0

DELTA = 5^2-(-2*4*14)

DELTA = 137

DELTA > 0

y = (137^(1/2)-5)/(-2*2) or y = (-137^(1/2)-5)/(-2*2)

y = (137^(1/2)-5)/(-4) or y = (137^(1/2)+5)/4

y in { (137^(1/2)-5)/(-4), (137^(1/2)+5)/4} 

y in { (137^(1/2)-5)/(-4), (137^(1/2)+5)/4 }

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