((7x^4/(x^2-25))/((x^6)/(x-5)^2))

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Solution for ((7x^4/(x^2-25))/((x^6)/(x-5)^2)) equation: 


D( x )

(x-5)^2 = 0

(x^6)/((x-5)^2) = 0

x^2-25 = 0

(x-5)^2 = 0

(x-5)^2 = 0

x-5 = 0 // + 5

x = 5

(x^6)/((x-5)^2) = 0

(x^6)/((x-5)^2) = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

x^2-25 = 0

x^2-25 = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in (-oo:-5) U (-5:0) U (0:5) U (5:+oo)

((7*x^4)/(x^2-25))/((x^6)/((x-5)^2)) = 0

(7*x^4*(x-5)^2)/(x^6*(x^2-25)) = 0

( 7*x^4 )

7*x^4 = 0 // : 7

x^4 = 0

x = 0

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 0} 

x in { 5} 

x belongs to the empty set

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