Mixing
Let $z_1 = k + 1 + i(k − 1)$ and $z_2 = 2k − ik$ be to complex numbers, whats the value for $k$ if...
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Let $z_1 = k + 1 + i(k − 1)$ and $z_2 = 2k − ik$ be to complex numbers, whats the value for $k$ if $dfrac{z_1}{z_2} $is real number?
Answer is $dfrac13$, but I don't know how to solve it.
calculus analysis
edited yesterday
Tianlalu
2,589632
asked yesterday
Nadja
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Let $z_1 = k + 1 + i(k − 1)$ and $z_2 = 2k − ik$ be to complex numbers, whats the value for $k$ if $dfrac{z_1}{z_2} $is real number?
Answer is $dfrac13$, but I don't know how to solve it.
calculus analysis
edited yesterday
Tianlalu
2,589632
asked yesterday
Nadja
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
just set imaginary part to zero
– phdmba7of12
yesterday
add a comment |
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Let $z_1 = k + 1 + i(k − 1)$ and $z_2 = 2k − ik$ be to complex numbers, whats the value for $k$ if $dfrac{z_1}{z_2} $is real number?
Answer is $dfrac13$, but I don't know how to solve it.
calculus analysis
edited yesterday
Tianlalu
2,589632
asked yesterday
Nadja
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Let $z_1 = k + 1 + i(k − 1)$ and $z_2 = 2k − ik$ be to complex numbers, whats the value for $k$ if $dfrac{z_1}{z_2} $is real number?
Answer is $dfrac13$, but I don't know how to solve it.
calculus analysis
calculus analysis
edited yesterday
Tianlalu
2,589632
asked yesterday
Nadja
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
Tianlalu
2,589632
asked yesterday
Nadja
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
Tianlalu
2,589632
edited yesterday
Tianlalu
2,589632
edited yesterday
Tianlalu
2,589632
2,589632
asked yesterday
Nadja
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
Nadja
1
asked yesterday
Nadja
1
1
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Nadja is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
just set imaginary part to zero
– phdmba7of12
yesterday
add a comment |
just set imaginary part to zero
– phdmba7of12
yesterday
just set imaginary part to zero
– phdmba7of12
yesterday
just set imaginary part to zero
– phdmba7of12
yesterday
add a comment |
1 Answer
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HINT: Note that $frac{z_1}{z_2}=frac{z_1overline{z_2}}{|z_2|^2}$, and in the latter the denominator is a real number (if $k$ is real).
answered yesterday
Servaes
20.6k33789
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
HINT: Note that $frac{z_1}{z_2}=frac{z_1overline{z_2}}{|z_2|^2}$, and in the latter the denominator is a real number (if $k$ is real).
answered yesterday
Servaes
20.6k33789
add a comment |
up vote
1
down vote
HINT: Note that $frac{z_1}{z_2}=frac{z_1overline{z_2}}{|z_2|^2}$, and in the latter the denominator is a real number (if $k$ is real).
answered yesterday
Servaes
20.6k33789
add a comment |
up vote
1
down vote
up vote
1
down vote
HINT: Note that $frac{z_1}{z_2}=frac{z_1overline{z_2}}{|z_2|^2}$, and in the latter the denominator is a real number (if $k$ is real).
answered yesterday
Servaes
20.6k33789
HINT: Note that $frac{z_1}{z_2}=frac{z_1overline{z_2}}{|z_2|^2}$, and in the latter the denominator is a real number (if $k$ is real).
answered yesterday
Servaes
20.6k33789
answered yesterday
Servaes
20.6k33789
answered yesterday
Servaes
20.6k33789
answered yesterday
Servaes
20.6k33789
20.6k33789
add a comment |
add a comment |
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Nadja is a new contributor. Be nice, and check out our Code of Conduct.
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just set imaginary part to zero
– phdmba7of12
yesterday