4/x=14/5x

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Solution for 4/x=14/5x equation:


D( x )

x = 0

x = 0

x = 0

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

4/x = (14/5)*x // - (14/5)*x

4/x-((14/5)*x) = 0

(-14/5)*x+4/x = 0

4*x^-1-14/5*x^1 = 0

(4*x^0-14/5*x^2)/(x^1) = 0 // * x^2

x^1*(4*x^0-14/5*x^2) = 0

x^1

(-14/5)*x^2+4 = 0

(-14/5)*x^2+4 = 0

DELTA = 0^2-(4*4*(-14/5))

DELTA = 224/5

DELTA > 0

x = ((224/5)^(1/2)+0)/(2*(-14/5)) or x = (0-(224/5)^(1/2))/(2*(-14/5))

x = -5/28*(224/5)^(1/2) or x = 5/28*(224/5)^(1/2)

x in { -5/28*(224/5)^(1/2), 5/28*(224/5)^(1/2)}

x in { -5/28*(224/5)^(1/2), 5/28*(224/5)^(1/2) }

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