The time, in seconds, it takes for one complete swing of a pendulum is represented by the equation below, where is the length of the pendulum in meters, and is the acceleration due to gravity (9.81 m/s2). What is the approximate length of the pendulum if it takes the pendulum 4.4 seconds to complete one full swing? (Use = 3.14)

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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