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Problem
Problem
For what values of the parameter
k
k
k
in the inequality
∣
x
2
+
k
x
+
1
x
2
+
x
+
1
∣
<
3
\left| \frac{x^2 + kx + 1}{x^2 + x + 1} \right| < 3
x
2
+
x
+
1
x
2
+
k
x
+
1
<
3
, satisfied for all real values of
x
x
x
?
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