Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
5
x
+
11
+
14
=
20
\sqrt{5 x+11}+14=20
5
x
+
11
+
14
=
20
\newline
Answer:
View step-by-step help
Home
Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
5
x
+
11
+
14
=
20
\sqrt{5 x+11}+14=20
5
x
+
11
+
14
=
20
\newline
Answer:
Isolate square root:
Isolate the
square root
on one side of the equation by subtracting
14
14
14
from both sides.
\newline
5
x
+
11
+
14
−
14
=
20
−
14
\sqrt{5x + 11} + 14 - 14 = 20 - 14
5
x
+
11
+
14
−
14
=
20
−
14
\newline
5
x
+
11
=
6
\sqrt{5x + 11} = 6
5
x
+
11
=
6
Square both sides:
Square both sides of the equation to eliminate the square root.
\newline
(
5
x
+
11
)
2
=
6
2
(\sqrt{5x + 11})^2 = 6^2
(
5
x
+
11
)
2
=
6
2
\newline
5
x
+
11
=
36
5x + 11 = 36
5
x
+
11
=
36
Isolate variable
x
x
x
:
Isolate the variable
x
x
x
by subtracting
11
11
11
from both sides of the equation.
5
x
+
11
−
11
=
36
−
11
5x + 11 - 11 = 36 - 11
5
x
+
11
−
11
=
36
−
11
5
x
=
25
5x = 25
5
x
=
25
Divide by
5
5
5
:
Divide both sides of the equation by
5
5
5
to solve for
x
x
x
.
5
x
5
=
25
5
\frac{5x}{5} = \frac{25}{5}
5
5
x
=
5
25
x
=
5
x = 5
x
=
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