Question 26
(KOR 4) Let $n$ be a positive integer and let $a,b$ be given real numbers. Determine the range of $x_0$ for which
$$\sum_{i=0}^n x_i=a$$
and
$$\sum_{i=0}^n x_i^2=b,$$
where $x_0,x_1,\ldots,x_n$ are real variables.
$$\sum_{i=0}^n x_i=a$$
and
$$\sum_{i=0}^n x_i^2=b,$$
where $x_0,x_1,\ldots,x_n$ are real variables.