8/2y=4/y-2

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Solution for 8/2y=4/y-2 equation: 


D( y )

y = 0

y = 0

y = 0

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

(8/2)*y = 4/y-2 // - 4/y-2

(8/2)*y-(4/y)+2 = 0

(8/2)*y-4*y^-1+2 = 0

4*y^1-4*y^-1+2*y^0 = 0

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

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

y^1

4*y^2+2*y-4 = 0

4*y^2+2*y-4 = 0

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

DELTA = 68

DELTA > 0

y = (68^(1/2)-2)/(2*4) or y = (-68^(1/2)-2)/(2*4)

y = (2*17^(1/2)-2)/8 or y = (-2*17^(1/2)-2)/8

y in { (-2*17^(1/2)-2)/8, (2*17^(1/2)-2)/8} 

y in { (-2*17^(1/2)-2)/8, (2*17^(1/2)-2)/8 }

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