Question

What is the solution to (x-12)^2-48=0 ?

Answer 1

Answer:

x = 18.928, 5.0718

Explanation:

x = 4√3 + 12, - 4√3 +12

decimal form:

x = 18.928, 5.0718

Answer 2

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
…