What is the length of the major axis of the conic section (x+2)^2/64+(y-1)^2/81=1

The length of the major axis = 18 units.

Step-by-step explanation:

For equation ellipse:

If n>m , then length of major axis = 2n

Otherwise 2m

Given equation:

9>8

So, the length of the major axis = 2(9) = 18 units.

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)