Algebra 3 Solving Quadratic Equations Worksheet - Brunel University Page 6
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13Case 3.
If the vertex is exactly on the x-axis, there are a pair of coincident
solutions (it can be also interpreted as only one solution of the
corresponding quadratic equation).
Analytically, this corresponds to the
discriminant
equal to zero,
D = 0
(
)
4
3
2
f (x) =
x
+ 4x
4
2
f x
a > 0
1
D = 0
0
1
0
1
2
3
4
x
1
0
2
f (x) = x
4x + 4
1
f x
a < 0
2
D = 0
3
1
0
1
2
3
4
x
6
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