9x-17=2/x

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Solution for 9x-17=2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9*x-17 = 2/x // - 2/x

9*x-(2/x)-17 = 0

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

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

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

x^1*(9*x^2-17*x^1-2*x^0) = 0

x^1

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

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

DELTA = (-17)^2-(-2*4*9)

DELTA = 361

DELTA > 0

x = (361^(1/2)+17)/(2*9) or x = (17-361^(1/2))/(2*9)

x = 2 or x = -1/9

x in { -1/9, 2} 

x in { -1/9, 2 }

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