16/x5*x

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Solution for 16/x5*x equation:


D( x )

x = 0

x = 0

x = 0

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

16/x < 5*x // - 5*x

16/x-(5*x) < 0

16/x-5*x < 0

16*x^-1-5*x = 0

x^-1*(16-5*x^2) = 0

-5*x^2 = -16 // : -5

x^2 = 16/5

x^2 = 16/5 // ^ 1/2

abs(x) = (16/5)^(1/2)

x = (16/5)^(1/2) or x = -(16/5)^(1/2)

1/x = 0

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

x^-1 = 0

x należy do O

(x-(16/5)^(1/2))*(x+(16/5)^(1/2)) < 0

(-oo:-(16/5)^(1/2)) (-(16/5)^(1/2):(16/5)^(1/2)) ((16/5)^(1/2):+oo) x-(16/5)^(1/2) - - + x+(16/5)^(1/2) - + +

x in (-(16/5)^(1/2):0) U (0:(16/5)^(1/2))

(-(16/5)^(1/2):0) U (0:(16/5)^(1/2))

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