Let n be a natural number. Find the number of real roots of the following equation: 1+x1+x22+...+xnn=0.
Problem
Source: III International Festival of Young Mathematicians Sozopol 2012, Theme for 10-12 grade
Tags: algebra, Real Roots
Source: III International Festival of Young Mathematicians Sozopol 2012, Theme for 10-12 grade
Tags: algebra, Real Roots
Let n be a natural number. Find the number of real roots of the following equation: 1+x1+x22+...+xnn=0.