Resoudre \( a^{2}+\frac{1}{a^{2}}+b^{2}+\frac{1}{b^{2}}=4 \)
Write as two separate equations: a^2+b^2=2 and \frac{1}{a^2}+\frac{1}{b^2}=2.
Step 1 :Write as two separate equations: a^2+b^2=2 and \frac{1}{a^2}+\frac{1}{b^2}=2.