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Math Problems
Algebra 2
Complex conjugates
product is
1
1
1
. Hence, find the zeros of the polynomial.
\newline
Find the quadratic polynomial, the sum of whose roots is
2
\sqrt{2}
2
and their product is
1
3
\frac{1}{3}
3
1
.
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Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
2
+
8
i
z_{1}=-2+8 i
z
1
=
−
2
+
8
i
.
\newline
z
1
‾
=
\overline{z_{1}}=
z
1
=
Get tutor help
Find the complex conjugate of the given number.
\newline
4
+
8
i
4 + 8i
4
+
8
i
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
Get tutor help
Find the complex conjugate of the given number.
\newline
1
−
8
i
1 - 8i
1
−
8
i
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
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Find the complex conjugate of the given number.
\newline
1
−
3
i
1 - 3i
1
−
3
i
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
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Find the complex conjugate of the given number.
\newline
−
1
−
5
i
-1 - 5i
−
1
−
5
i
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
Get tutor help
Find the complex conjugate of the given number.
\newline
5
−
10
i
5 - 10i
5
−
10
i
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
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What is the conjugate of
−
4
+
8
i
-4+8 i
−
4
+
8
i
?
\newline
4
−
8
i
4-8 i
4
−
8
i
\newline
8
−
4
i
8-4 i
8
−
4
i
\newline
4
+
8
i
4+8 i
4
+
8
i
\newline
−
4
−
8
i
-4-8 i
−
4
−
8
i
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What is the conjugate of
−
2
−
6
i
-2-6 i
−
2
−
6
i
?
\newline
2
−
6
i
2-6 i
2
−
6
i
\newline
−
6
−
2
i
-6-2 i
−
6
−
2
i
\newline
2
+
6
i
2+6 i
2
+
6
i
\newline
−
2
+
6
i
-2+6 i
−
2
+
6
i
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What is the conjugate of
5
+
8
i
5+8 i
5
+
8
i
?
\newline
5
−
8
i
5-8 i
5
−
8
i
\newline
−
5
−
8
i
-5-8 i
−
5
−
8
i
\newline
8
+
5
i
8+5 i
8
+
5
i
\newline
−
5
+
8
i
-5+8 i
−
5
+
8
i
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What is the conjugate of
5
−
2
i
5-2 i
5
−
2
i
?
\newline
−
5
+
2
i
-5+2 i
−
5
+
2
i
\newline
−
2
+
5
i
-2+5 i
−
2
+
5
i
\newline
5
+
2
i
5+2 i
5
+
2
i
\newline
−
5
−
2
i
-5-2 i
−
5
−
2
i
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What is the conjugate of
−
7
+
6
i
-7+6 i
−
7
+
6
i
?
\newline
−
7
−
6
i
-7-6 i
−
7
−
6
i
\newline
6
−
7
i
6-7 i
6
−
7
i
\newline
7
−
6
i
7-6 i
7
−
6
i
\newline
7
+
6
i
7+6 i
7
+
6
i
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What is the conjugate of
8
+
3
i
8+3 i
8
+
3
i
?
\newline
3
+
8
i
3+8 i
3
+
8
i
\newline
−
8
+
3
i
-8+3 i
−
8
+
3
i
\newline
−
8
−
3
i
-8-3 i
−
8
−
3
i
\newline
8
−
3
i
8-3 i
8
−
3
i
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What is the conjugate of
3
+
2
i
3+2 i
3
+
2
i
?
\newline
2
+
3
i
2+3 i
2
+
3
i
\newline
−
3
+
2
i
-3+2 i
−
3
+
2
i
\newline
3
−
2
i
3-2 i
3
−
2
i
\newline
−
3
−
2
i
-3-2 i
−
3
−
2
i
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What is the conjugate of
4
−
7
i
4-7 i
4
−
7
i
?
\newline
−
4
+
7
i
-4+7 i
−
4
+
7
i
\newline
−
7
+
4
i
-7+4 i
−
7
+
4
i
\newline
−
4
−
7
i
-4-7 i
−
4
−
7
i
\newline
4
+
7
i
4+7 i
4
+
7
i
Get tutor help
What is the conjugate of
3
−
2
i
3-2 i
3
−
2
i
?
\newline
−
3
+
2
i
-3+2 i
−
3
+
2
i
\newline
3
+
2
i
3+2 i
3
+
2
i
\newline
−
2
+
3
i
-2+3 i
−
2
+
3
i
\newline
−
3
−
2
i
-3-2 i
−
3
−
2
i
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
7
i
+
6
z
1
‾
=
□
\begin{array}{l} z_{1}=-7 i+6 \\ \overline{z_{1}}=\square \end{array}
z
1
=
−
7
i
+
6
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
6
i
−
7
z_{1}=6 i-7
z
1
=
6
i
−
7
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
1
+
5
i
z_{1}=-1+5 i
z
1
=
−
1
+
5
i
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
5
i
+
5
z_{1}=5 i+5
z
1
=
5
i
+
5
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
2
i
+
7
z_{1}=-2 i+7
z
1
=
−
2
i
+
7
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
6
+
i
z_{1}=6+i
z
1
=
6
+
i
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
2
+
8
i
z_{1}=-2+8 i
z
1
=
−
2
+
8
i
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
7
+
3
i
z_{1}=-7+3 i
z
1
=
−
7
+
3
i
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
−
5
−
7
i
z_{1}=-5-7 i
z
1
=
−
5
−
7
i
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
z
1
=
i
+
4
z_{1}=i+4
z
1
=
i
+
4
.
\newline
z
1
‾
=
□
\overline{z_{1}}=\square
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
\newline
z
1
=
−
4
+
5
i
z
1
‾
=
□
\begin{array}{l} z_{1}=-4+5 i \\ \overline{z_{1}}=\square \end{array}
z
1
=
−
4
+
5
i
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
\newline
z
1
=
−
4
i
−
6
z
1
‾
=
□
\begin{array}{l} z_{1}=-4 i-6 \\ \overline{z_{1}}=\square \end{array}
z
1
=
−
4
i
−
6
z
1
=
□
Get tutor help
Find the complex conjugate
z
1
‾
\overline{z_{1}}
z
1
of
\newline
z
1
=
−
4
i
+
4
z
1
‾
=
□
\begin{array}{l} z_{1}=-4 i+4 \\ \overline{z_{1}}=\square \end{array}
z
1
=
−
4
i
+
4
z
1
=
□
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3
⋅
(
3
+
20
i
)
=
3 \cdot(3+20 i)=
3
⋅
(
3
+
20
i
)
=
\newline
Your answer should be a complex number in the form
a
+
b
i
a+b i
a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
Get tutor help
Find the complex conjugate of the given number.
\newline
4
+
10
i
4 + 10i
4
+
10
i
\newline
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
\newline
______
Get tutor help
