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Mathematics
Mathematics
Problem
If
x
x
x
is real and
4
y
2
+
4
x
y
+
x
+
6
=
0
4y^2 + 4xy + x + 6 = 0
4
y
2
+
4
x
y
+
x
+
6
=
0
, then the complete set of values of
x
x
x
for which
y
y
y
is real, is: (a)
x
≤
−
2
x \le -2
x
≤
−
2
or
x
≥
3
x \ge 3
x
≥
3
(b)
x
≤
2
x \le 2
x
≤
2
or
x
≥
3
x \ge 3
x
≥
3
(c)
x
≤
−
3
x \le -3
x
≤
−
3
or
x
≥
2
x \ge 2
x
≥
2
(d)
−
3
≤
x
≤
2
-3 \le x \le 2
−
3
≤
x
≤
2
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