Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Solve for
b
b
b
.
\newline
−
5
b
=
−
3
b
+
10
\sqrt{\,-5b} = \sqrt{\,-3b + 10}
−
5
b
=
−
3
b
+
10
\newline
b
=
_
_
_
_
_
b = \,\_\_\_\_\_
b
=
_____
View step-by-step help
Home
Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
b
b
b
.
\newline
−
5
b
=
−
3
b
+
10
\sqrt{\,-5b} = \sqrt{\,-3b + 10}
−
5
b
=
−
3
b
+
10
\newline
b
=
_
_
_
_
_
b = \,\_\_\_\_\_
b
=
_____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
−
5
b
)
2
=
(
−
3
b
+
10
)
2
(\sqrt{-5b})^2 = (\sqrt{-3b + 10})^2
(
−
5
b
)
2
=
(
−
3
b
+
10
)
2
\newline
−
5
b
=
−
3
b
+
10
-5b = -3b + 10
−
5
b
=
−
3
b
+
10
Move terms involving
b
b
b
:
Move all terms involving
b
b
b
to one side of the equation.
−
5
b
+
3
b
=
−
3
b
+
3
b
+
10
\,-5b + 3b = -3b + 3b + 10
−
5
b
+
3
b
=
−
3
b
+
3
b
+
10
−
2
b
=
10
\,-2b = 10
−
2
b
=
10
Divide by
−
2
-2
−
2
:
Divide both sides by extendash
2
2
2
to solve for
b
b
b
.
\newline
−
2
b
−
2
=
10
−
2
\frac{-2b}{-2} = \frac{10}{-2}
−
2
−
2
b
=
−
2
10
\newline
b
=
−
5
b = -5
b
=
−
5
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