Ifp = 2, q = 1, r = -3 then find the value of p² + q² + r² + pq
You asked:
Given the following equations: \[\begin{aligned}I f p &= 2\\ q &= 1\\ r &= -3\end{aligned}\] Evaluate \({p}^{2} + {q}^{2} + {r}^{2} + p q\).
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}I &= \frac{2}{f p}\\f &= 1\\p &= -3\end{aligned}$$
By substituting these values into the expression, we find that: $$\begin{aligned}p^{2} + p q + q^{2} + r^{2} &= p^{2} + p + 10\end{aligned}$$