Question

HELP NEEDED!!!! MUCH APPRECIATED

Answer 1

We have

`t_1 + t+2 = (√(s))/(4) + (s)/(1100) = .5`

Multiplying through by 1100,

`275 √(s) + s = 550`

`275 √(s) = 550 - s`

Squaring (which means we need to check later),

`275^2 s = (550 - s)^2 = 550^2 - 1100 s + s^2`

`0 = s^2 - (1100 + 275^2) s + 550^2`

`0 = s^2 - 76725 s + 302500`

`s = \frac 1 2 (76725 \pm 1375 √(3113) )`

`s \approx 3.94285 \textrm{ or } s \approx 76721.0571`

Clearly there's no way that giant number would work; must be extraneous.

Answer: 3.94

Merry Christmas!