x-1/x-143

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Solution for x-1/x-143 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)-14 > 3 // - 3

x-(1/x)-14-3 > 0

x-x^-1-14-3 > 0

x-x^-1-14-3 = 0

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

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

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

x^1

x^2-17*x-1 = 0

x^2-17*x-1 = 0

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

DELTA = 293

DELTA > 0

x = (293^(1/2)+17)/(1*2) or x = (17-293^(1/2))/(1*2)

x = (293^(1/2)+17)/2 or x = (17-293^(1/2))/2

x in { (17-293^(1/2))/2, (293^(1/2)+17)/2}

(x-((17-293^(1/2))/2))*(x-((293^(1/2)+17)/2)) > 0

(-oo:(17-293^(1/2))/2) ((17-293^(1/2))/2:(293^(1/2)+17)/2) ((293^(1/2)+17)/2:+oo) x-((17-293^(1/2))/2) - + + x-((293^(1/2)+17)/2) - - +

x in (-oo:(17-293^(1/2))/2) U ((293^(1/2)+17)/2:+oo)

(-oo:(17-293^(1/2))/2) U ((293^(1/2)+17)/2:+oo)

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