Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 10

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1
Quadratic Equations in One Unknown
Name :
1C
Date :
Mark :
1.4A Quadratic Formula
Key Concepts and Formulae
+ bx + c = 0, where a, b and c
2
For a quadratic equation in the general form ax
− ±
2
b
b
4
ac
are real numbers and a ≠ 0, the roots are x
=
.
2
a
Solve the following quadratic equations using the quadratic formula. (1 – 4)
+ 3x + 2 = 0
2
1.
x
Solution
±
2
3
3
1
2
(
)
(
)
4
(
)
(
)
x =
2
(
)
1
−3
±
1
(
)
(
)
=
(
)
2
−3
±
1
(
)
(
)
=
(
)
2
=
−1
−2
(
) or
(
)
− x − 56 = 0
2
2.
x
Solution
− −
±
2
( )
1
( )
1
4 1 56
( )(
)
x =
2 1
( )
±
1
225
=
2
±
1
15
=
2
=
8 or
7
10

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