Problem # 72 Gage is training for a mini
marathon (13 miles). He wants
to run on Mondays,
Wednesdays, and Saturdays.
The first day (a Monday) he will
run 1 mile. If he adds a half mile
to his run each time that he
runs, in how many weeks will he
be trained to run 13 miles?

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)

step-by-step explanation: