Quadratic Equations Worksheet
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12QUADRATIC EQUATIONS
A quadratic equation is always written in the form of:
+
+ =
where a ≠ 0
2
ax
bx c
0
+
+ =
2
The form ax
bx c
0
is called the standard form of a quadratic equation.
Examples:
−
+ =
2
x
5
x
6 0
This is a quadratic equation written in standard form.
+ x
=
−
2
x
4
4
This is a quadratic equation that is not written in standard form but
+
+ = .
2
can be once we set the equation to: x
4
x
4 0
=
2
x
x
This too can be a quadratic equation once it is set to 0.
− =
2
x
x
0
(standard form with c=0).
Solving Quadratic Equations by Square Root Property
=
±
x =
2
x
a
When
a
, where a is a real number, then your
−
=
y + =
2
2
Examples:
x
9
0
3 28
y + − =
−
−
=
2
2
x
9
0
3 3 28 3
y =
=
2
2
25
x
9
=
±
y = ±
x
9
25
=
±
y = ±
x
3
5
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