Question

If (a+b)^2=9 and (a-b)^2=49 what is the value of a^2+b^2 ?

Answer 1

\[ \frac{(a+b)^2+(a-b)^2}{2} = a^2+b^2 \]
\[ a^2+b^2=\frac{9+49}{2}=29 \]

Answer 2

Thank you