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Mathematics — Analysis And Approaches
Mathematics — Analysis and Approaches
Problem
Consider
y
=
−
x
2
−
3
x
+
4
y = -x^2 - 3x + 4
y
=
−
x
2
−
3
x
+
4
and
y
=
x
2
+
5
x
+
4
y = x^2 + 5x + 4
y
=
x
2
+
5
x
+
4
. a. Solve for
x
x
x
:
−
x
2
−
3
x
+
4
=
x
2
+
5
x
+
4
-x^2 - 3x + 4 = x^2 + 5x + 4
−
x
2
−
3
x
+
4
=
x
2
+
5
x
+
4
. b. Sketch the curves on the same set of axes. c. Hence solve for
x
x
x
:
x
2
+
5
x
+
4
>
−
x
2
−
3
x
+
4
x^2 + 5x + 4 > -x^2 - 3x + 4
x
2
+
5
x
+
4
>
−
x
2
−
3
x
+
4
.
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