The area of a rectangular dining room is 108ft squared and the length is 12ft. What is the width of the dining room?

The width is 9.

Explanation: Because area is length times width, you need to divide area (108 ft) by length (12 ft) to get width. 108/12 is 9.

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)