x+6x-17/x-5=-3

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Solution for x+6x-17/x-5=-3 equation:


D( x )

x = 0

x = 0

x = 0

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

x+6*x-(17/x)-5 = -3 // + 3

x+6*x-(17/x)-5+3 = 0

x+6*x-17*x^-1-5+3 = 0

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

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

x^1*(7*x^2-2*x^1-17*x^0) = 0

x^1

7*x^2-2*x-17 = 0

7*x^2-2*x-17 = 0

DELTA = (-2)^2-(-17*4*7)

DELTA = 480

DELTA > 0

x = (480^(1/2)+2)/(2*7) or x = (2-480^(1/2))/(2*7)

x = (4*30^(1/2)+2)/14 or x = (2-4*30^(1/2))/14

x in { (2-4*30^(1/2))/14, (4*30^(1/2)+2)/14}

x in { (2-4*30^(1/2))/14, (4*30^(1/2)+2)/14 }

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