, first equation partially simplified;
Substitute using the second equation:
Another substitution again using from the second equation:
Solution first for p^2.----------------, this method will be long and very detailed...
----------------------------------------------------------------------------- Maybe another way.
from the first equation. .
-
Using this q in the next equation of pq=14,
p=-2 OR p=7
OR
p=2 OR p=-7
Again, looking at the pq=14 equation, p and q must be of the same sign so that their product is POSITIVE 14. This means that their solutions must be:
---------------------------
p=-2 and q=-7
OR
p=2 and q=7.
---------------------------
The exercise question asked for was, find .
Using either combination of p and q found, this expression will be .
(