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Find the real values of x\ a n d\ y ,\ i...

Find the real values of `x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i`

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To solve the equation \((x + iy)(2 - 3i) = 4 + i\), we will follow these steps: ### Step 1: Expand the left-hand side We start by multiplying the two complex numbers on the left side: \[ (x + iy)(2 - 3i) = x \cdot 2 + x \cdot (-3i) + iy \cdot 2 + iy \cdot (-3i) \] This simplifies to: ...
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