Level:
Project ID:
2010006704
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Determine all the values of the parameter
\(c\in \mathbb{R}\)
so that the following system has two solutions in
\(\mathbb{R}\times \mathbb{R}\).
\[ \begin{alignedat}{80}
&x^{2} & + &2y^{2} & = 6 & & & & & &
\\ &x & + &y & = c & & & & & &
\\\end{alignedat}\]
\(|c| < 3\)
\(|c| =3\)
\(|c| > 3\)
\(|c| \in \mathbb{R}\)