4/x-2x-1/5

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Solution for 4/x-2x-1/5 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

DELTA = (-1/5)^2-(-2*4*4)

DELTA = 801/25

DELTA > 0

x = ((801/25)^(1/2)-(-1/5))/(-2*2) or x = (-(-1/5)-(801/25)^(1/2))/(-2*2)

x = ((801/25)^(1/2)+1/5)/(-4) or x = (1/5-(801/25)^(1/2))/(-4)

x in { ((801/25)^(1/2)+1/5)/(-4), (1/5-(801/25)^(1/2))/(-4)}

x in { ((801/25)^(1/2)+1/5)/(-4), (1/5-(801/25)^(1/2))/(-4) }

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