5/x=4/3x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = 0^2-(4*5*(-4/3))

DELTA = 80/3

DELTA > 0

x = ((80/3)^(1/2)+0)/(2*(-4/3)) or x = (0-(80/3)^(1/2))/(2*(-4/3))

x = -3/8*(80/3)^(1/2) or x = 3/8*(80/3)^(1/2)

x in { -3/8*(80/3)^(1/2), 3/8*(80/3)^(1/2)}

x in { -3/8*(80/3)^(1/2), 3/8*(80/3)^(1/2) }

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