180k views
25 votes
What is the solution to (x-12)^2-48=0 ?

User Yinfeng
by
8.3k points

2 Answers

6 votes

Answer:

x = 18.928, 5.0718

Step-by-step explanation:

x = 4√3 + 12, - 4√3 +12

decimal form:

x = 18.928, 5.0718

User Distra
by
8.2k points
3 votes
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
.
Tap for more steps...
x

12
=
±
4

3
x
-
12
=
±
4
3
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
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
User Moeri
by
8.1k points

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