Answer:
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
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
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x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
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x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
