y-1/y=10

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Solution for y-1/y=10 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(1/y) = 10 // - 10

y-(1/y)-10 = 0

y-y^-1-10 = 0

1*y^1-1*y^-1-10*y^0 = 0

(1*y^2-10*y^1-1*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-10*y^1-1*y^0) = 0

y^1

y^2-10*y-1 = 0

y^2-10*y-1 = 0

DELTA = (-10)^2-(-1*1*4)

DELTA = 104

DELTA > 0

y = (104^(1/2)+10)/(1*2) or y = (10-104^(1/2))/(1*2)

y = (2*26^(1/2)+10)/2 or y = (10-2*26^(1/2))/2

y in { (10-2*26^(1/2))/2, (2*26^(1/2)+10)/2} 

y in { (10-2*26^(1/2))/2, (2*26^(1/2)+10)/2 }

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