Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 12
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34Number and Algebra
Number and Algebra
+ 2x − 8 = 0
(x + 12)x = 23
2
7.
11x
9.
Solution
Solution
+
=
(
x
12
)
x
23
− ±
−
−
2
2
2
4 11 8
( )(
)
x =
+
−
=
2
x
12
x
23
0
2 11
( )
− ±
−
±
−
−
2
2
356
12
12
4
(1)
(
23
)
=
=
x
22
2
(1)
− ±
=
2
2 89
x
1 68
.
(cor. to 2 d.p.) or
=
22
−
= 13.68 (cor. to 2 d.p.)
− ±
1
89
=
11
Solve the following quadratic equations using
the quadratic formula. (Give your answers
correct to 2 decimal places.) (8 – 10)
10. (x + 12)(x − 1) = x + 28
2x − 10 = −7x
2
8.
Solution
Solution
+
−
=
+
−
= −
2
2
x
10
7
x
(
x
12
)(
x
1
)
x
28
+
−
=
+
−
=
2
2
7
x
2
x
10
0
x
10
x
40
0
− ±
−
−
−
±
−
−
2
2
10
10
4
(1)
(
40
)
2
2
4 7
( )(
10
)
=
=
x
x
2 7
( )
2
(1)
=
=
x
3 06
.
(cor. to 2 d.p.) or
1 06
.
x
(cor. to 2 d.p.) or
−
−
1 35
.
=
13 06
.
(cor. to 2 d.p.)
=
(cor. to 2 d.p.)
12
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