Answer:
Step-by-step explanation:
Add
9
to both sides of the equation.
x
2
−
4
x
=
9
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
2
)
2
Add the term to each side of the equation.
x
2
−
4
x
+
(
−
2
)
2
=
9
+
(
−
2
)
2
Simplify the equation.
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x
2
−
4
x
+
4
=
13
Factor the perfect trinomial square into
(
x
−
2
)
2
.
(
x
−
2
)
2
=
13
Solve the equation for
x
.
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x
=
±
√
13
+
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
13
+
2
Decimal Form:
x
=
5.60555127
…
,
−
1.60555127
…
