Axe?
+
Bronx (Bronx)
+
c
=
(a≠0)
Step 1: Convert the coefficient of quadratic term into 1.
Transfer items: ax?
+
Bronx (Bronx)
=
-
c
Divide the two sides equally
a
:x？
+
b/a
x
=
-
c/a
Step 2: Match the constant, and add the square of half of the first coefficient on both sides.
Here, the coefficient of the linear term is
b/a
, half is
b/(2a)
And then the square is
[
b/(2a)
]?
So both sides are added at the same time.
[
b/(2a)
]?
x？
+
2*
b/(2a)
*
x
+
[
b/(2a)
]?
=
-
c/a
+
[
b/(2a)
]?
Step 3: Write in a completely flat way.
[
x
+
b/(2a)
]
=
(b？
-
4ac)
/
(4a？ )
Example: Solving equations by matching method: 4x?
-
8x
-
2 1
=
Solution: 4x?
-
8x
-
2 1
=
4x？
-
8x
=
2 1
x？
-
2x
=
2 1/4
x？
-
2x
+
1
=
2 1/4
+
1
(x)
-
1)?
=
25/4
x
-
1
=
5/2
or
x
-
1
=
-
5/2
x？
=
7/2
，x？
=
-
3/2