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Mathematics
Mathematics
Problem
Show that: a.
2
x
2
−
4
x
+
7
2x^2 - 4x + 7
2
x
2
−
4
x
+
7
is positive definite b.
−
2
x
2
+
3
x
−
4
-2x^2 + 3x - 4
−
2
x
2
+
3
x
−
4
is negative definite c.
x
2
−
3
x
+
6
>
0
x^2 - 3x + 6 > 0
x
2
−
3
x
+
6
>
0
for all
x
x
x
d.
4
x
−
x
2
−
6
<
0
4x - x^2 - 6 < 0
4
x
−
x
2
−
6
<
0
for all
x
x
x
.
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