4x-9/x+3

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Solution for 4x-9/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(9/x)+3 = 0

4*x-9*x^-1+3 = 0

4*x^1-9*x^-1+3*x^0 = 0

(4*x^2+3*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+3*x^1-9*x^0) = 0

x^1

4*x^2+3*x-9 = 0

4*x^2+3*x-9 = 0

DELTA = 3^2-(-9*4*4)

DELTA = 153

DELTA > 0

x = (153^(1/2)-3)/(2*4) or x = (-153^(1/2)-3)/(2*4)

x = (3*17^(1/2)-3)/8 or x = (-3*17^(1/2)-3)/8

x in { (-3*17^(1/2)-3)/8, (3*17^(1/2)-3)/8} 

x in { (-3*17^(1/2)-3)/8, (3*17^(1/2)-3)/8 }

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