60/x^225

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Solution for 60/x^225 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

60/(x^2) > 25 // - 25

60/(x^2)-25 > 0

60*x^-2 > 25

60*x^-2 > 25 // : 60

x^-2 > 25/60

x^-2 > 5/12

1/(x^2) > 5/12

x <> 0

1/(x^2) > 5/12 // * x^4

(x^4)/(x^2) > 5/12*x^4

x^2 > 5/12*x^4

x^2-5/12*x^4 > 0

x^2*(1-5/12*x^2) > 0

x^2*(1-5/12*x^2) > 0 // : x^2

1-5/12*x^2 > 0

1 > 5/12*x^2 // : 5/12

1/5/12 > x^2

x^2 < 1/5/12 // ^ 1/2

abs(x) < (12/5)^(1/2)

x in (-(12/5)^(1/2):0) U (0:(12/5)^(1/2))

x in (-(12/5)^(1/2):0) U (0:(12/5)^(1/2))

(-(12/5)^(1/2):0) U (0:(12/5)^(1/2))

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