5/x-2x=3

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Solution for 5/x-2x=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-(2*x) = 3 // - 3

5/x-(2*x)-3 = 0

5/x-2*x-3 = 0

5*x^-1-2*x^1-3*x^0 = 0

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

x^1*(5*x^0-2*x^2-3*x^1) = 0

x^1

5-2*x^2-3*x = 0

5-2*x^2-3*x = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(-2*2) or x = (3-49^(1/2))/(-2*2)

x = -5/2 or x = 1

x in { -5/2, 1} 

x in { -5/2, 1 }

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