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Question: Find the
x
-intercepts by graphing the related function of the equation
x
2
+ 3
x
- 4 = 0.
A ) - 4 and 3
B ) 4 and 3
C ) - 6 and 1
D ) - 4 and 1
Steps to derive
1
a
x
2
+
b
x
+
c
= 0
[Standard form of a quadratic equation.]
2
x
2
+ 3
x
- 4 = 0.
[Original equation.]
3
Sketch the graph of the related quadratic function
y
=
x
2
+ 3
x
- 4 as:
4
In the graph, the
x
-intercepts are - 4 and 1.
Hence the right answer is Option D
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