Solution

The flow rate of blood in an artery is modeled by the nonlinear equation $Q = k \left( P - \dfrac{Q^2}{R} \right)$, where $Q$ is the flow rate (mL/s), $P = 100\,\text{mmHg}$ is the blood pressure, $k = 0.05$, and $R = 10$. Determine the possible real values of the flow rate $Q$ accurate to two decimal places.