(4/x)=(1/4)x

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Solution for (4/x)=(1/4)x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = (1/4)*x // - (1/4)*x

4/x-((1/4)*x) = 0

(-1/4)*x+4/x = 0

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

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

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

x^1

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

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

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

DELTA = 4

DELTA > 0

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

x = -4 or x = 4

x in { -4, 4} 

x in { -4, 4 }

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