4/x=8/20x

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Solution for 4/x=8/20x equation:


D( x )

x = 0

x = 0

x = 0

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

4/x = (8/20)*x // - (8/20)*x

4/x-((8/20)*x) = 0

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

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

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

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

x^1

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

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

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

DELTA = 32/5

DELTA > 0

x = ((32/5)^(1/2)+0)/(2*(-2/5)) or x = (0-(32/5)^(1/2))/(2*(-2/5))

x = -5/4*(32/5)^(1/2) or x = 5/4*(32/5)^(1/2)

x in { -5/4*(32/5)^(1/2), 5/4*(32/5)^(1/2)}

x in { -5/4*(32/5)^(1/2), 5/4*(32/5)^(1/2) }

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