Solve for x: (3 + 2i) + (4 + xi)= 7 - 5i (1) -7 (2) -3 (3) 3 (4) 7
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Originally Posted by magentarita Solve for x: (3 + 2i) + (4 + xi)= 7 - 5i (1) -7 (2) -3 (3) 3 (4) 7 3 + 2i + 4 + xi = 7 + (2 + x)i now equate real and imaginary parts...
Hi magentarita. Its simple math: $\displaystyle (3 + 2i) + (4 + xi)= 7 - 5i$ // - 3 // -2i $\displaystyle 4+x*i = 4 -7i$ //-4 $\displaystyle x*i = -7i $ // : i => $\displaystyle x = -7\frac{i}{i} = -7 $ Kind regards, Rapha
Originally Posted by Rapha Hi magentarita. Its simple math: $\displaystyle (3 + 2i) + (4 + xi)= 7 - 5i$ // - 3 // -2i $\displaystyle 4+x*i = 4 -7i$ //-4 $\displaystyle x*i = -7i $ // : i => $\displaystyle x = -7\frac{i}{i} = -7 $ Kind regards, Rapha In this case, what does the symbol // mean?
Originally Posted by Jhevon 3 + 2i + 4 + xi = 7 + (2 + x)i now equate real and imaginary parts... 7 + (2 + x)i = 7 - 5i 7 + 2i + xi = 7 - 5i 7 - 7 + xi = -2i - 5i xi = -7i x = -7i/i x = -7 Is this correct?
Originally Posted by magentarita 7 + (2 + x)i = 7 - 5i 7 + 2i + xi = 7 - 5i 7 - 7 + xi = -2i - 5i xi = -7i x = -7i/i x = -7 Is this correct? Yes, but it's easier to just say Real parts: $\displaystyle 7 = 7$, correct. Imaginary parts: $\displaystyle 2 + x = -5 \implies x = -7$.
Originally Posted by magentarita In this case, what does the symbol // mean? It means nothing. I just use(d) it to show the steps. Don't you know some Programming languages (like Java)? Sometimes you use " // " to comment several lines out. Regards, Rapha
I want to thank everyone for your reply.
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