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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
x
−
4
−
12
=
−
10
\sqrt{x-4}-12=-10
x
−
4
−
12
=
−
10
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
x
−
4
−
12
=
−
10
\sqrt{x-4}-12=-10
x
−
4
−
12
=
−
10
\newline
Answer:
Add
12
12
12
to isolate:
Add
12
12
12
to both sides of the equation to isolate the
square root
on one side.
\newline
x
−
4
−
12
+
12
=
−
10
+
12
\sqrt{x - 4} - 12 + 12 = -10 + 12
x
−
4
−
12
+
12
=
−
10
+
12
\newline
x
−
4
=
2
\sqrt{x - 4} = 2
x
−
4
=
2
Square to eliminate:
Square both sides of the equation to eliminate the square root.
\newline
(
x
−
4
)
2
=
2
2
(\sqrt{x - 4})^2 = 2^2
(
x
−
4
)
2
=
2
2
\newline
x
−
4
=
4
x - 4 = 4
x
−
4
=
4
Add
4
4
4
to solve:
Add
4
4
4
to both sides of the equation to solve for
x
x
x
.
x
−
4
+
4
=
4
+
4
x - 4 + 4 = 4 + 4
x
−
4
+
4
=
4
+
4
x
=
8
x = 8
x
=
8
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\newline
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y = \sqrt{x}
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\newline
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\newline
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\newline
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63
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−
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9
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Solve for
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Solve for
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p
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=
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Question
Solve for
p
p
p
.
\newline
4
p
=
10
+
3
p
\sqrt{4p} = \sqrt{10 + 3p}
4
p
=
10
+
3
p
\newline
p
=
p =
p
=
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