Divide.
(-13u^6 x^6 + 4ux^6) / (-2u^2 x^5)

Step-by-step explanation:

(-13u^6 x^6 + 4ux^6) / (-2u^2 x^5) can be rewritten as:

(-13u^6 x^6 + 4ux^6)

(-2u^2 x^5)

Note that u is common to all terms here.  Factoring out u, we get:

(u) [ (-13u^5)(x^6) + 4x^6 ]

  (u) [-2u (x^5) ]

Reducing this leaves us with:

(-13u^5)(x^6) + 4x^6

         [-2u (x^5)

Now note that x^5 is common to all terms here.  Factoring out x^5, we get:

( -13u^5)(x) + 4x

         -2u

This cannot be reduced further, since the 4x term has no u factor.  

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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