6x-1/x=17

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Solution for 6x-1/x=17 equation:


D( x )

x = 0

x = 0

x = 0

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

6*x-(1/x) = 17 // - 17

6*x-(1/x)-17 = 0

6*x-x^-1-17 = 0

6*x^1-1*x^-1-17*x^0 = 0

(6*x^2-17*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-17*x^1-1*x^0) = 0

x^1

6*x^2-17*x-1 = 0

6*x^2-17*x-1 = 0

DELTA = (-17)^2-(-1*4*6)

DELTA = 313

DELTA > 0

x = (313^(1/2)+17)/(2*6) or x = (17-313^(1/2))/(2*6)

x = (313^(1/2)+17)/12 or x = (17-313^(1/2))/12

x in { (17-313^(1/2))/12, (313^(1/2)+17)/12}

x in { (17-313^(1/2))/12, (313^(1/2)+17)/12 }

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