5/x=1x/6

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Solution for 5/x=1x/6 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x = (1*x)/6 // - (1*x)/6

5/x-((1*x)/6) = 0

5/x-(x/6) = 0

5*x^-1-1/6*x^1 = 0

(5*x^0-1/6*x^2)/(x^1) = 0 // * x^2

x^1*(5*x^0-1/6*x^2) = 0

x^1

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

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

DELTA = 0^2-(4*5*(-1/6))

DELTA = 10/3

DELTA > 0

x = ((10/3)^(1/2)+0)/(2*(-1/6)) or x = (0-(10/3)^(1/2))/(2*(-1/6))

x = -3*(10/3)^(1/2) or x = 3*(10/3)^(1/2)

x in { -3*(10/3)^(1/2), 3*(10/3)^(1/2)}

x in { -3*(10/3)^(1/2), 3*(10/3)^(1/2) }

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