Quadratic Equations Worksheet - 20150917 Chapter 1
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1
2
3Y
K
h
Revision
1.
General form of a quadratic equation
2
+
+ = , where
a ≠ .
The general form of a quadratic equation in x is
ax
bx c
0
0
2.
Methods of solving a quadratic equation
(a) Factor method
r
+
+
= , then
−
If a quadratic equation can be written as (
px r qx s
)(
) 0
p
s
−
and
are the roots of the equation.
q
(b) Method of taking square roots
2
+
=
− ±
The roots of a quadratic equation
(
x
p
)
q
are
p
q
.
(c) Quadratic formula
2
− ±
−
b
b
4
ac
2
+
+ =
The roots of a quadratic equation
0
are
.
ax
bx c
2
a
3.
Form a quadratic equation from given roots
α
β
If
and
are the roots of a quadratic equation, the equation can be
expressed as follows.
α
β
−
−
=
(
x
)(
x
) 0
2
α β
αβ
−
+
+
=
i.e.
x
(
)
x
0
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