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Welcome to Bytelearn!
Let’s check out your problem:
Solve for
u
u
u
.
\newline
−
9
u
=
5
−
4
u
\sqrt{\,-9u} = \sqrt{\,5 - 4u}
−
9
u
=
5
−
4
u
\newline
u
=
_
_
_
_
u = \,\_\_\_\_
u
=
____
View step-by-step help
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
u
u
u
.
\newline
−
9
u
=
5
−
4
u
\sqrt{\,-9u} = \sqrt{\,5 - 4u}
−
9
u
=
5
−
4
u
\newline
u
=
_
_
_
_
u = \,\_\_\_\_
u
=
____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
−
9
u
)
2
=
(
5
−
4
u
)
2
(\sqrt{-9u})^2 = (\sqrt{5 - 4u})^2
(
−
9
u
)
2
=
(
5
−
4
u
)
2
\newline
−
9
u
=
5
−
4
u
-9u = 5 - 4u
−
9
u
=
5
−
4
u
Add
u
u
u
terms:
Add
4
u
4u
4
u
to both sides of the equation to bring all the
u
u
u
terms to one side.
\newline
−
9
u
+
4
u
=
5
−
4
u
+
4
u
-9u + 4u = 5 - 4u + 4u
−
9
u
+
4
u
=
5
−
4
u
+
4
u
\newline
−
5
u
=
5
-5u = 5
−
5
u
=
5
Divide by
−
5
-5
−
5
:
Divide both sides by
−
5
-5
−
5
to solve for u.
\newline
−
5
u
/
−
5
=
5
/
−
5
-5u / -5 = 5 / -5
−
5
u
/
−
5
=
5/
−
5
\newline
u
=
−
1
u = -1
u
=
−
1
More problems from Solve radical equations
Question
What is the domain of this function?
\newline
y
=
x
y = \sqrt{x}
y
=
x
\newline
Choices:
\newline
{
x
∣
x
≥
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}
\{x|x \geq 0\}
{
x
∣
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\newline
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{
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\{x | x < 0\}
{
x
∣
x
<
0
}
\newline
{
x
∣
x
>
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}
\{x|x>0\}
{
x
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x
>
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Posted 1 year ago
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
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Posted 1 year ago
Question
Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Posted 1 year ago
Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
_______
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Posted 1 year ago
Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
______
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Posted 1 year ago
Question
Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
______
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Posted 1 year ago
Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
2
\frac{-4}{9 - \sqrt{2}}
9
−
2
−
4
\newline
______
Get tutor help
Posted 1 year ago
Question
Solve for
z
z
z
.
\newline
16
=
z
16 = \sqrt{z}
16
=
z
\newline
z
=
z =
z
=
_____
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Posted 1 year ago
Question
Solve for
p
p
p
.
\newline
8
=
p
8 = \sqrt{p}
8
=
p
\newline
p
=
p =
p
=
_____
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Posted 1 year ago
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
=
_____
Get tutor help
Posted 9 months ago
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