8/x=1/4-x

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Solution for 8/x=1/4-x equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x = 1/4-x // - 1/4-x

x+8/x-(1/4) = 0

x+8/x-1/4 = 0

1*x^1+8*x^-1-1/4*x^0 = 0

(1*x^2-1/4*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-1/4*x^1+8*x^0) = 0

x^1

x^2+(-1/4)*x+8 = 0

x^2+(-1/4)*x+8 = 0

DELTA = (-1/4)^2-(1*4*8)

DELTA = -511/16

DELTA < 0

x in { } 

x belongs to the empty set

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