x-1/x=35/6

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Solution for x-1/x=35/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x) = 35/6 // - 35/6

x-(1/x)-(35/6) = 0

x-x^-1-35/6 = 0

1*x^1-1*x^-1-35/6*x^0 = 0

(1*x^2-35/6*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-35/6*x^1-1*x^0) = 0

x^1

x^2+(-35/6)*x-1 = 0

x^2+(-35/6)*x-1 = 0

DELTA = (-35/6)^2-(-1*1*4)

DELTA = 1369/36

DELTA > 0

x = ((1369/36)^(1/2)-(-35/6))/(1*2) or x = (-(-35/6)-(1369/36)^(1/2))/(1*2)

x = 6 or x = -1/6

x in { -1/6, 6} 

x in { -1/6, 6 }

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