2/x+4x=9

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Solution for 2/x+4x=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x+2/x = 9 // - 9

4*x+2/x-9 = 0

4*x^1+2*x^-1-9*x^0 = 0

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

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

x^1

4*x^2-9*x+2 = 0

4*x^2-9*x+2 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+9)/(2*4) or x = (9-49^(1/2))/(2*4)

x = 2 or x = 1/4

x in { 1/4, 2} 

x in { 1/4, 2 }

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