5=3x-4/x

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Solution for 5=3x-4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5 = 3*x-(4/x) // - 3*x-(4/x)

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

4/x-3*x+5 = 0

4*x^-1-3*x^1+5*x^0 = 0

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

x^1*(5*x^1-3*x^2+4*x^0) = 0

x^1

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

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

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

DELTA = 73

DELTA > 0

x = (73^(1/2)-5)/(-3*2) or x = (-73^(1/2)-5)/(-3*2)

x = (73^(1/2)-5)/(-6) or x = (73^(1/2)+5)/6

x in { (73^(1/2)-5)/(-6), (73^(1/2)+5)/6} 

x in { (73^(1/2)-5)/(-6), (73^(1/2)+5)/6 }

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