6/2y-5=2/y-7

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Solution for 6/2y-5=2/y-7 equation: 


D( y )

y = 0

y = 0

y = 0

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

(6/2)*y-5 = 2/y-7 // - 2/y-7

(6/2)*y-(2/y)-5+7 = 0

(6/2)*y-2*y^-1-5+7 = 0

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

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

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

y^1

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

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

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

DELTA = 28

DELTA > 0

y = (28^(1/2)-2)/(2*3) or y = (-28^(1/2)-2)/(2*3)

y = (2*7^(1/2)-2)/6 or y = (-2*7^(1/2)-2)/6

y in { (-2*7^(1/2)-2)/6, (2*7^(1/2)-2)/6} 

y in { (-2*7^(1/2)-2)/6, (2*7^(1/2)-2)/6 }

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