5/4x-9/x=2

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Solution for 5/4x-9/x=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(5/4)*x-(9/x) = 2 // - 2

(5/4)*x-(9/x)-2 = 0

(5/4)*x-9*x^-1-2 = 0

5/4*x^1-9*x^-1-2*x^0 = 0

(5/4*x^2-2*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(5/4*x^2-2*x^1-9*x^0) = 0

x^1

(5/4)*x^2-2*x-9 = 0

(5/4)*x^2-2*x-9 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+2)/(2*(5/4)) or x = (2-49^(1/2))/(2*(5/4))

x = 18/5 or x = -2

x in { -2, 18/5} 

x in { -2, 18/5 }

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