You are filling bags with marbles to give as gifts. you're using 80 blue marble, 112 green marbles, 144 yellow marbles, and 192 red marbles. do you want the bags of marbles to be identical and have no leftover marbles. what is the greatest number of bags that you can fill? how many marbles of each color and in each bag?

a negative exponent is translated as follows:

so, we have

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)