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Let’s check out your problem:
Solve for
d
d
d
.
\newline
5
d
=
(
−
4
+
7
d
)
\sqrt{5d} = \sqrt{\left(-4 + 7d\right)}
5
d
=
(
−
4
+
7
d
)
\newline
d
=
d =
d
=
_____
View step-by-step help
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
d
d
d
.
\newline
5
d
=
(
−
4
+
7
d
)
\sqrt{5d} = \sqrt{\left(-4 + 7d\right)}
5
d
=
(
−
4
+
7
d
)
\newline
d
=
d =
d
=
_____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
5
d
)
2
=
(
–
4
+
7
d
)
2
(\sqrt{5d})^2 = (\sqrt{\text{–}4 + 7d})^2
(
5
d
)
2
=
(
–
4
+
7
d
)
2
\newline
5
d
=
–
4
+
7
d
5d = \text{–}4 + 7d
5
d
=
–
4
+
7
d
Subtract
7
d
7d
7
d
:
Subtract
7
d
7d
7
d
from both sides to get all the
d
d
d
terms on one side.
\newline
5
d
−
7
d
=
−
4
+
7
d
−
7
d
5d - 7d = -4 + 7d - 7d
5
d
−
7
d
=
−
4
+
7
d
−
7
d
\newline
−
2
d
=
−
4
-2d = -4
−
2
d
=
−
4
Divide by
−
2
-2
−
2
:
Divide both sides by
−
2
-2
−
2
to solve for
d
d
d
.
\newline
−
2
d
−
2
=
−
4
−
2
\frac{-2d}{-2} = \frac{-4}{-2}
−
2
−
2
d
=
−
2
−
4
\newline
d
=
2
d = 2
d
=
2
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
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x
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x
≥
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{
x
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\newline
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x
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>
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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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