Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Solve for
r
r
r
.
\newline
−
4
r
=
−
5
r
−
1
\sqrt{\,-4r} = \sqrt{\,-5r -1}
−
4
r
=
−
5
r
−
1
\newline
r
=
_
_
_
_
r = \,\_\_\_\_
r
=
____
View step-by-step help
Home
Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
r
r
r
.
\newline
−
4
r
=
−
5
r
−
1
\sqrt{\,-4r} = \sqrt{\,-5r -1}
−
4
r
=
−
5
r
−
1
\newline
r
=
_
_
_
_
r = \,\_\_\_\_
r
=
____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
−
4
r
)
2
=
(
−
5
r
−
1
)
2
(\sqrt{-4r})^2 = (\sqrt{-5r - 1})^2
(
−
4
r
)
2
=
(
−
5
r
−
1
)
2
\newline
−
4
r
=
−
5
r
−
1
-4r = -5r - 1
−
4
r
=
−
5
r
−
1
Add
5
r
5r
5
r
:
Add
5
r
5r
5
r
to both sides of the equation to get all the
r
r
r
terms on one side.
\newline
−
4
r
+
5
r
=
−
5
r
+
5
r
−
1
-4r + 5r = -5r + 5r - 1
−
4
r
+
5
r
=
−
5
r
+
5
r
−
1
\newline
r
=
−
1
r = -1
r
=
−
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
≥
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
______
Get tutor help
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
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant