Problem 1281 (difficulty: 4/10)

For \(\displaystyle |x_1-10|<1\), \(\displaystyle |x_2-20|<1\), \(\displaystyle |x_3-30|<1\) let \(\displaystyle u=(u_1,u_2)\) be the root of

\(\displaystyle u_1+u_2=x_1+x_2+x_3-10, \quad u_1u_2=\frac{x_1x_2x_3}{10} \)

closest to \(\displaystyle (30,20)\). Find \(\displaystyle u'(10,20,30)\).

Give me another random problem!