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Let’s check out your problem:
Solve for
s
s
s
.
\newline
−
2
s
=
8
s
+
10
\sqrt{-2s} = \sqrt{8s + 10}
−
2
s
=
8
s
+
10
\newline
s
=
s =
s
=
_____
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
s
s
s
.
\newline
−
2
s
=
8
s
+
10
\sqrt{-2s} = \sqrt{8s + 10}
−
2
s
=
8
s
+
10
\newline
s
=
s =
s
=
_____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
−
2
s
)
2
=
(
8
s
+
10
)
2
(\sqrt{-2s})^2 = (\sqrt{8s + 10})^2
(
−
2
s
)
2
=
(
8
s
+
10
)
2
\newline
−
2
s
=
8
s
+
10
-2s = 8s + 10
−
2
s
=
8
s
+
10
Move terms involving
s
s
s
:
Move all terms involving
s
s
s
to one side of the equation.
−
2
s
−
8
s
=
8
s
+
10
−
8
s
\,-2s - 8s = 8s + 10 - 8s
−
2
s
−
8
s
=
8
s
+
10
−
8
s
−
10
s
=
10
\,-10s = 10
−
10
s
=
10
Divide by
−
10
-10
−
10
:
Divide both sides by extendash
10
10
10
to solve for
s
s
s
.
\newline
s
=
10
e
x
t
e
n
d
a
s
h
10
s = \frac{10}{ extendash 10}
s
=
e
x
t
e
n
d
a
s
h
10
10
\newline
s
=
e
x
t
e
n
d
a
s
h
1
s = extendash 1
s
=
e
x
t
e
n
d
a
s
h
1
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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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\newline
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\newline
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\newline
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Question
Solve for
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z
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\newline
16
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\newline
z
=
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Solve for
p
p
p
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\newline
8
=
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8
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\newline
p
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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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