p^2-q^2=√6, p+q=√3 then p-q= ?

asked by guest
on Jan 10, 2025 at 3:12 am



MathBot Answer:

The system of equations has one solution.

p=22+32,q=22+32p = \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2}, q = - \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2}

By substituting these values into the expression, we find that: pq=21.41421\begin{aligned}p - q &= \sqrt{2} \approx 1.41421\end{aligned}