Algebra 3 Solving Quadratic Equations Worksheet - Brunel University Page 8
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13Example
Solve, using the quadratic formula
2
3x
9x + 10 = 0
Solution:
a =
3, b =
9, c = 10
Calculate the discriminant
√
D =
b
4ac
2
=
( 9)
2
4 × ( 3) × 10
√
√
=
81 + 120 =
201
√
9 ±
201
D > 0
=⇒
x
=
two zeros.
1,2
6
√
√
9 +
201
201
9
x
=
, x
=
1
2
6
6
or approximately the roots are
x
≈
3.863, x
≈ 0.863.
1
2
Note: Compare the obtained solution with the graph
20
15
10
.
5
0
6
4
2
0
2
x
8
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