(3/(6-2x))/(5x/(9-x^2))

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Solution for (3/(6-2x))/(5x/(9-x^2)) equation:


D( x )

6-(2*x) = 0

(5*x)/(9-x^2) = 0

9-x^2 = 0

6-(2*x) = 0

6-(2*x) = 0

6-2*x = 0

6-2*x = 0 // - 6

-2*x = -6 // : -2

x = -6/(-2)

x = 3

(5*x)/(9-x^2) = 0

(5*x)/(9-x^2) = 0

5*x = 0 // : 5

x = 0

9-x^2 = 0

9-x^2 = 0

-1*x^2 = -9 // : -1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in (-oo:-3) U (-3:0) U (0:3) U (3:+oo)

(3/(6-(2*x)))/((5*x)/(9-x^2)) = 0

(3/(6-2*x))/((5*x)/(9-x^2)) = 0

(3*(9-x^2))/(5*x*(6-2*x)) = 0

-1*x^2 = -9 // : -1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3}

x in { -3}

x belongs to the empty set

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