5/2X+3-1/X-6=0

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Solution for 5/2X+3-1/X-6=0 equation: 


D( X )

X = 0

X = 0

X = 0

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

(5/2)*X-(1/X)-6+3 = 0

(5/2)*X-X^-1-6+3 = 0

5/2*X^1-1*X^-1-3*X^0 = 0

(5/2*X^2-3*X^1-1*X^0)/(X^1) = 0 // * X^2

X^1*(5/2*X^2-3*X^1-1*X^0) = 0

X^1

(5/2)*X^2-3*X-1 = 0

(5/2)*X^2-3*X-1 = 0

DELTA = (-3)^2-(-1*4*(5/2))

DELTA = 19

DELTA > 0

X = (19^(1/2)+3)/(2*(5/2)) or X = (3-19^(1/2))/(2*(5/2))

X = (19^(1/2)+3)/5 or X = (3-19^(1/2))/5

X in { (3-19^(1/2))/5, (19^(1/2)+3)/5} 

X in { (3-19^(1/2))/5, (19^(1/2)+3)/5 }

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