Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 9
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341
Quadratic Equations in One Unknown
− 11x + 18 = 0
2
Solve the following quadratic equations by
11. x
completing the square. (Leave your answers in
Solution
surd form if necessary.) (9 – 12)
−
+
=
2
+ 4x − 5 = 0
2
x
11
x
18
0
9.
x
−
= −
2
x
11
x
18
Solution
2
2
11
11
−
+
= −
+
2
x
11
x
18
+ 4x − 5 = 0
2
x
2
2
+ 4x = 5
2
2
x
11
49
−
=
x
2
4
4
4
+ 4x + (
= 5 + (
2
2
2
x
)
)
2
11
7
2
−
= ±
x
2
2
= (
x + 2
2
(
)
9
)
x = 9
or
2
x + (
) = ± (
)
2
3
−5
x = (
) or (
)
1
+ 8x − 20 = 0
+ 5x + 1 = 0
2
2
10. x
12 . 6x
Solution
Solution
+
−
=
2
+
+
=
2
x
8
x
20
0
6
x
5
x
1
0
+
=
2
5
1
x
8
x
20
+
= −
2
x
x
6
6
2
2
8
8
+
+
=
+
2
x
8
x
20
2
2
5
5
1
5
2
2
+
+
= −
+
2
x
x
6
12
6
12
+
=
2
(
x
4
)
36
2
5
1
+
= ±
+
=
x
4
6
x
12
144
x =
−
2
or
10
5
1
+
= ±
x
12
12
1
1
x = −
−
or
2
3
9
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