Add
48
48
to both sides of the equation.
(
x
−
12
)
2
=
48
(
x
-
12
)
2
=
48
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
−
12
=
±
√
48
x
-
12
=
±
48
Simplify
±
√
48
±
48
.
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x
−
12
=
±
4
√
3
x
-
12
=
±
4
3
The complete solution is the result of both the positive and negative portions of the solution.
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x
=
4
√
3
+
12
,
−
4
√
3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
The result can be shown in multiple forms.
Exact Form:
x
=
4
√
3
+
12
,
−
4
√
3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
Decimal Form:
x
=
18.92820323
…
,
5.07179676
…