Quadratic Equations Worksheet Page 10
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12QUADRATIC EQUATIONS – ANSWER TO EXERCISES
−
+ =
+
+
=
2
2
1. x
2
x
1 0
2. x
9
x
20 0
−
−
=
+
+
=
(
x
1
)(
x
1
)
0
(
x
5
)(
x
4
)
0
− =
− =
+ =
+ =
x
1 0
x
1 0
x
5 0
x
4 0
=
=
= −
= −
x
1
x
1
x
5
x
4
−
−
=
+
− =
2
2
3. 3
x
5
x
12 0
4. 6
x
9
x
6 0
+
−
=
+
−
=
2
(
3
x
4
)(
x
3
)
0
3 2
(
x
3
x
2
)
0
−
+
=
3 2
(
x
1
)(
x
2
)
0
+ =
− =
3
x
4 0
2
x
1 0
− =
+ =
x
3 0
x
2 0
4
1
= −
=
=
= −
x
x
x
3
x
2
3
2
+
−
=
−
=
+
2
2
5. x
3
x
28 0
6. 3
x
2
x
2
x
7
+
−
=
−
−
− =
2
(
x
7
)(
x
4
)
0
3
x
2
x
2
x
7 0
−
− =
2
3
x
4
x
7 0
+ =
− =
x
7 0
x
4 0
−
+
=
(
3
x
7
)(
x
1
)
0
= −
=
x
7
x
4
− =
3
x
7 0
+ =
x
1 0
7
=
= −
x
x
1
3
−
=
+
=
2
2
7. 4
x
12
x
16
8. x
3
x
0
−
−
=
+
=
2
4
x
12
x
16 0
x x (
3
)
0
−
−
=
2
4
(
x
3
x
4
)
0
−
+
=
x = 0
x + =
x = −3
4
(
x
4
)(
x
1
)
0
3 0
− =
+ =
x
4 0
x
1 0
=
= −
x
4
x
1
1
10
+
=
− − =
2
9. 3
10. 3
y
y
4 0
2
x
x
+ =
−
+
=
2
3
x
x
10
(
3
y
4
)(
y
1
)
0
+ −
=
2
3
x
x
10 0
− =
3
y
4 0
+ =
y
1 0
−
+
=
(
3
x
5
)(
x
2
)
0
4
= −
=
y
1
y
3
− =
3
x
5 0
+ =
x
2 0
5
=
= −
x
x
2
3
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