3. x + 81x⁻¹ = 18
x + 81/x = 18 I * x
x² + 81 = 18x
x² - 18x + 81 = 0
x₁ + x₂ = 18
x₁ * x₂ = 81
x₁ = x₂ = 9
x = 9
4. ![( \frac{b + 1 }{b - 1} - \frac{b}{b + 1} ) : \frac{3b + 1}{2b - 2} = ( \frac{b + 1 }{b - 1} - \frac{b}{b + 1} ) : \frac{3b + 1}{2b - 2} =](https://tex.z-dn.net/?f=%28+%5Cfrac%7Bb+%2B+1+%7D%7Bb+-+1%7D+-++%5Cfrac%7Bb%7D%7Bb+%2B+1%7D+%29+%3A+%5Cfrac%7B3b+%2B+1%7D%7B2b+-+2%7D+%3D+)
![( \frac{(b + 1)^2 }{(b + 1)(b - 1)} - \frac{b(b - 1)}{(b - 1)(b + 1)} ) : \frac{3b + 1}{2b - 2} = ( \frac{(b + 1)^2 }{(b + 1)(b - 1)} - \frac{b(b - 1)}{(b - 1)(b + 1)} ) : \frac{3b + 1}{2b - 2} =](https://tex.z-dn.net/?f=%28+%5Cfrac%7B%28b+%2B+1%29%5E2+%7D%7B%28b+%2B+1%29%28b+-+1%29%7D+-++%5Cfrac%7Bb%28b+-+1%29%7D%7B%28b+-+1%29%28b+%2B+1%29%7D+%29+%3A+%5Cfrac%7B3b+%2B+1%7D%7B2b+-+2%7D+%3D+)
![\frac{b^2 + 2b + 1 - b^2 + b }{(b + 1)(b - 1)} : \frac{3b + 1}{2b - 2} = \frac{b^2 + 2b + 1 - b^2 + b }{(b + 1)(b - 1)} : \frac{3b + 1}{2b - 2} =](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E2+%2B+2b+%2B+1+-+b%5E2+%2B+b+%7D%7B%28b+%2B+1%29%28b+-+1%29%7D++%3A+%5Cfrac%7B3b+%2B+1%7D%7B2b+-+2%7D+%3D+)
![\frac{3b + 1 }{(b + 1)(b - 1)} : \frac{3b + 1}{2b - 2} = \frac{3b + 1 }{(b + 1)(b - 1)} : \frac{3b + 1}{2b - 2} =](https://tex.z-dn.net/?f=%5Cfrac%7B3b+%2B+1+%7D%7B%28b+%2B+1%29%28b+-+1%29%7D++%3A+%5Cfrac%7B3b+%2B+1%7D%7B2b+-+2%7D+%3D+)
5. 45 мин = 0,75 ч
I * t (t - 0,75)
13,5 (t - 0,75) = 4,5t
13,5t - 10,125 = 4,5t
13,5t - 4,5t = 10,125
9t = 10,125
t = 1,125
v (пешеход) =
Ответ: 4 км/ч