Can you solve for x and y in this complex numbers equation?

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To solve for x and y in the equation (x+y)+i(x-y)=14.8+6.2i, the real and imaginary parts must be equal. This leads to the system of equations x+y=14.8 and x-y=6.2. These equations can be solved simultaneously to find the values of x and y. The discussion emphasizes the importance of equating the real and imaginary components of complex numbers. The participants express gratitude for the clarification provided.
cowboi12345
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I have to find x and y for:

(x+y)+i(x-y)=14.8+6.2i


how to do?
 
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In order for two complex numbers z and w to be equal, Re(z)=Re(w) and Im(z)=Im(w). In this case, you get the system of equations x+y=14.8 and x-y=6.2, which is a system you can solve.
 
Char. Limit said:
In order for two complex numbers z and w to be equal, Re(z)=Re(w) and Im(z)=Im(w). In this case, you get the system of equations x+y=14.8 and x-y=6.2, which is a system you can solve.

OHHHH!...THANKS ALOT! :smile:
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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