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Mathematics — Analysis And Approaches
Mathematics — Analysis and Approaches
Problem
Consider the curves
y
=
x
2
+
5
x
+
6
y = x^2 + 5x + 6
y
=
x
2
+
5
x
+
6
and
y
=
2
x
2
+
2
x
−
4
y = 2x^2 + 2x - 4
y
=
2
x
2
+
2
x
−
4
. a. Solve for
x
x
x
:
x
2
+
5
x
+
6
=
2
x
2
+
2
x
−
4
x^2 + 5x + 6 = 2x^2 + 2x - 4
x
2
+
5
x
+
6
=
2
x
2
+
2
x
−
4
. b. Graph the two curves on the same set of axes. c. Hence solve for
x
x
x
:
x
2
+
5
x
+
6
>
2
x
2
+
2
x
−
4
x^2 + 5x + 6 > 2x^2 + 2x - 4
x
2
+
5
x
+
6
>
2
x
2
+
2
x
−
4
.
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