5x-9=44/x

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Solution for 5x-9=44/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-9 = 44/x // - 44/x

5*x-(44/x)-9 = 0

5*x-44*x^-1-9 = 0

5*x^1-44*x^-1-9*x^0 = 0

(5*x^2-9*x^1-44*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-9*x^1-44*x^0) = 0

x^1

5*x^2-9*x-44 = 0

5*x^2-9*x-44 = 0

DELTA = (-9)^2-(-44*4*5)

DELTA = 961

DELTA > 0

x = (961^(1/2)+9)/(2*5) or x = (9-961^(1/2))/(2*5)

x = 4 or x = -11/5

x in { -11/5, 4} 

x in { -11/5, 4 }

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