5/2x-6+4/x-3

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Solution for 5/2x-6+4/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(5/2)*x+4/x-6-3 = 0

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

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

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

x^1

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

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

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

DELTA = 41

DELTA > 0

x = (41^(1/2)+9)/(2*(5/2)) or x = (9-41^(1/2))/(2*(5/2))

x = (41^(1/2)+9)/5 or x = (9-41^(1/2))/5

x in { (9-41^(1/2))/5, (41^(1/2)+9)/5} 

x in { (9-41^(1/2))/5, (41^(1/2)+9)/5 }

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