4. For which $p$ do the quadratic equations

$$
9 x^{2}-3(p+6) x+6 p+5=0 \text{ and } 6 x^{2}-3(p+4) x+6 p+14=0
$$

have a common root? Find this root.
Answer: 1) $p=-\frac{32}{9}, x=-1$;2) $p=\frac{32}{3}, x=3$.