34. Find an integer $x$ that satisfies the equation
$$
x^{5}-101 x^{3}-999 x^{2}+100900=0
$$
34 Ans: 10 .
Upon rewriting the equation as $\left(x^{2}-101\right)\left(x^{3}-999\right)+1=0$, one sees that $x=10$ is the only integral solution.