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Welcome to Bytelearn!
Let’s check out your problem:
Solve for
y
y
y
.
\newline
9
y
=
8
y
+
6
\sqrt{9y} = \sqrt{8y + 6}
9
y
=
8
y
+
6
\newline
y
=
y =
y
=
_____
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
y
y
y
.
\newline
9
y
=
8
y
+
6
\sqrt{9y} = \sqrt{8y + 6}
9
y
=
8
y
+
6
\newline
y
=
y =
y
=
_____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
9
y
)
2
=
(
8
y
+
6
)
2
(\sqrt{9y})^2 = (\sqrt{8y + 6})^2
(
9
y
)
2
=
(
8
y
+
6
)
2
\newline
9
y
=
8
y
+
6
9y = 8y + 6
9
y
=
8
y
+
6
Subtract to isolate variable:
Subtract
8
y
8y
8
y
from both sides to isolate the variable
y
y
y
on one side of the equation.
\newline
9
y
−
8
y
=
8
y
+
6
−
8
y
9y - 8y = 8y + 6 - 8y
9
y
−
8
y
=
8
y
+
6
−
8
y
\newline
y
=
6
y = 6
y
=
6
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
≥
0
}
\{x|x \geq 0\}
{
x
∣
x
≥
0
}
\newline
{
x
∣
x
≤
0
}
\{x|x \leq 0\}
{
x
∣
x
≤
0
}
\newline
{
x
∣
x
<
0
}
\{x | x < 0\}
{
x
∣
x
<
0
}
\newline
{
x
∣
x
>
0
}
\{x|x>0\}
{
x
∣
x
>
0
}
Get tutor help
Posted 1 year ago
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
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
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Posted 1 year ago
Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
_______
Get tutor help
Posted 1 year ago
Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
______
Get tutor help
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
=
_____
Get tutor help
Posted 1 year ago
Question
Solve for
p
p
p
.
\newline
8
=
p
8 = \sqrt{p}
8
=
p
\newline
p
=
p =
p
=
_____
Get tutor help
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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