y-5=36/y

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Solution for y-5=36/y equation: 


D( y )

y = 0

y = 0

y = 0

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

y-5 = 36/y // - 36/y

y-(36/y)-5 = 0

y-36*y^-1-5 = 0

1*y^1-36*y^-1-5*y^0 = 0

(1*y^2-5*y^1-36*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-5*y^1-36*y^0) = 0

y^1

y^2-5*y-36 = 0

y^2-5*y-36 = 0

DELTA = (-5)^2-(-36*1*4)

DELTA = 169

DELTA > 0

y = (169^(1/2)+5)/(1*2) or y = (5-169^(1/2))/(1*2)

y = 9 or y = -4

y in { -4, 9} 

y in { -4, 9 }

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