The period T of a pendulum in seconds, which is the time for the pendulum to return to the point of release, is given by the equation T=1.1LaTeX: \sqrt{L}L where L is the length of the pendulum in feet. Find the length of the pendulum if the period is 17.6 seconds.

8(1/6)

step-by-step explain:

49/6= 48

8 (1/6)

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81