N(t)=(8t-5)/(-5t+4),N(-6)

解

N (t) = \frac{8 t - 5}{- 5 t + 4}, N (- 6)

t = - \frac{- 2 N + 4 + 4 N ^{2} + 9 N + 16}{5 N}, t = - \frac{- 2 N + 4 - 4 N ^{2} + 9 N + 16}{5 N}; N \neq = 0

解答ステップ

N (t) = \frac{8 t - 5}{- 5 t + 4}

以下で両辺を乗じる:

- 5 t + 4

Nt (- 5 t + 4) = 8 t - 5

解く

Nt (- 5 t + 4) = 8 t - 5 : t = - \frac{- 2 N + 4 + 4 N ^{2} + 9 N + 16}{5 N}, t = - \frac{- 2 N + 4 - 4 N ^{2} + 9 N + 16}{5 N}; N \neq = 0

t = - \frac{- 2 N + 4 + 4 N ^{2} + 9 N + 16}{5 N}, t = - \frac{- 2 N + 4 - 4 N ^{2} + 9 N + 16}{5 N}; N \neq = 0