Given #x+y=2# and #x^3+y^3=5#, what is #x^2+y^2#?
2 Answers
It is
Explanation:
From
From
So we know that
and
If you add (1) and (2) you get
Explanation:
By applying the sum of cubes formula together with the given equations:
Now, by cubing the first given equation, we get
Substituting in our known values for
Substituting this back into