y-12/y-5=2

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Solution for y-12/y-5=2 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(12/y)-5 = 2 // - 2

y-(12/y)-5-2 = 0

y-12*y^-1-5-2 = 0

1*y^1-12*y^-1-7*y^0 = 0

(1*y^2-7*y^1-12*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-7*y^1-12*y^0) = 0

y^1

y^2-7*y-12 = 0

y^2-7*y-12 = 0

DELTA = (-7)^2-(-12*1*4)

DELTA = 97

DELTA > 0

y = (97^(1/2)+7)/(1*2) or y = (7-97^(1/2))/(1*2)

y = (97^(1/2)+7)/2 or y = (7-97^(1/2))/2

y in { (7-97^(1/2))/2, (97^(1/2)+7)/2} 

y in { (7-97^(1/2))/2, (97^(1/2)+7)/2 }

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