Find real part of messy complex fraction?
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I have this messy complex fraction, where the LHS is real. But how can I find the real part of the RHS?
$$
frac{R277-X115+i(R115+X277)}{R+277+i(115+X)}=300,
$$
where $R, Xin mathbb R$.
complex-numbers
asked Nov 13 at 10:36
JDoeDoe
7711513
add a comment |
up vote
-1
down vote
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I have this messy complex fraction, where the LHS is real. But how can I find the real part of the RHS?
$$
frac{R277-X115+i(R115+X277)}{R+277+i(115+X)}=300,
$$
where $R, Xin mathbb R$.
complex-numbers
asked Nov 13 at 10:36
JDoeDoe
7711513
Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
1
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I have this messy complex fraction, where the LHS is real. But how can I find the real part of the RHS?
$$
frac{R277-X115+i(R115+X277)}{R+277+i(115+X)}=300,
$$
where $R, Xin mathbb R$.
complex-numbers
asked Nov 13 at 10:36
JDoeDoe
7711513
I have this messy complex fraction, where the LHS is real. But how can I find the real part of the RHS?
$$
frac{R277-X115+i(R115+X277)}{R+277+i(115+X)}=300,
$$
where $R, Xin mathbb R$.
complex-numbers
complex-numbers
asked Nov 13 at 10:36
JDoeDoe
7711513
asked Nov 13 at 10:36
JDoeDoe
7711513
asked Nov 13 at 10:36
JDoeDoe
7711513
asked Nov 13 at 10:36
JDoeDoe
7711513
asked Nov 13 at 10:36
JDoeDoe
7711513
7711513
Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
1
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43
add a comment |
Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
1
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43
Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
1
1
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43
add a comment |
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Well, $Re(300)=300$
– gammatester
Nov 13 at 10:39
1
Does $R277$ mean the same thing as $277R?$ In any event, can't you multiply numerator and denominator by the complex conjugate of the denominator?
– saulspatz
Nov 13 at 10:43