((25-X^2)/5)/((13-3X)/4X)

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Solution for ((25-X^2)/5)/((13-3X)/4X) equation: 


D( X )

X*((13-(3*X))/4) = 0

X*((13-(3*X))/4) = 0

X*((13-(3*X))/4) = 0

X*((13-3*X)/4) = 0

(X*(13-3*X))/4 = 0

( 13-3*X )

13-3*X = 0 // - 13

-3*X = -13 // : -3

X = -13/(-3)

X = 13/3

( X )

X = 0

X in (-oo:0) U (0:13/3) U (13/3:+oo)

((25-X^2)/5)/(X*((13-(3*X))/4)) = 0

((25-X^2)/5)/(X*((13-3*X)/4)) = 0

(4*(25-X^2))/(5*X*(13-3*X)) = 0

( 25-X^2 )

-1*X^2 = -25 // : -1

X^2 = 25

X^2 = 25 // ^ 1/2

abs(X) = 5

X = 5 or X = -5

( 4 )

4 = 0

X belongs to the empty set

X in { 5, -5 }

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