5/-x-1/3x

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Solution for 5/-x-1/3x equation:


D( x )

-x = 0

-x = 0

x = 0

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

5/(-x) < (-1/3)*x // - (-1/3)*x

5/(-x)-((-1/3)*x) < 0

(1/3)*x+5/(-x) < 0

1/3*x-5*x^-1 = 0

x^-1*(1/3*x^2-5) = 0

1/3*x^2 = 5 // : 1/3

x^2 = 15

x^2 = 15 // ^ 1/2

abs(x) = 15^(1/2)

x = 15^(1/2) or x = -15^(1/2)

1/x = 0

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

x^-1 = 0

x należy do O

(x-15^(1/2))*(x+15^(1/2)) < 0

(-oo:-15^(1/2)) (-15^(1/2):15^(1/2)) (15^(1/2):+oo) x-15^(1/2) - - + x+15^(1/2) - + +

x in (-15^(1/2):0) U (0:15^(1/2))

(-15^(1/2):0) U (0:15^(1/2))

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