18x-77=(18/x)

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Solution for 18x-77=(18/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

18*x-77 = 18/x // - 18/x

18*x-(18/x)-77 = 0

18*x-18*x^-1-77 = 0

18*x^1-18*x^-1-77*x^0 = 0

(18*x^2-77*x^1-18*x^0)/(x^1) = 0 // * x^2

x^1*(18*x^2-77*x^1-18*x^0) = 0

x^1

18*x^2-77*x-18 = 0

18*x^2-77*x-18 = 0

DELTA = (-77)^2-(-18*4*18)

DELTA = 7225

DELTA > 0

x = (7225^(1/2)+77)/(2*18) or x = (77-7225^(1/2))/(2*18)

x = 9/2 or x = -2/9

x in { -2/9, 9/2} 

x in { -2/9, 9/2 }

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