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AfilCa [17]
3 years ago
5

Evaluate the expression 4-7i/7+4i

Mathematics
2 answers:
JulijaS [17]3 years ago
6 0
The answer is negative i because they cancel each other out except for the i
vladimir1956 [14]3 years ago
4 0
Multiply<span> by </span><span><span>(7−4i)/</span><span>(7−4i)</span></span><span> to make the </span>denominator<span> of </span><span><span>(4−7i)/</span><span>(7+4i)</span></span><span> real.
</span><span>(<span><span>4−7i/</span><span>7+4i</span></span>)(<span><span>7−4i/</span><span>7−4i</span></span>)

</span>Expand <span>(7+4i)(7−4i)</span><span> using the </span>FOIL<span> Method.
</span><span>(4−7i)(7−4i)/</span><span>7(7)+7(−4i)+4i(7)+4i(−4i<span>)

</span></span><span>Simplify.
</span><span><span>(4−7i)(7−4i)/</span>65

</span>Expand <span>(4−7i)(7−4i)</span><span> using the </span>FOIL<span> Method.
</span><span><span>4(7)+4(−4i)−7i(7)−7i(−4i)/</span>65

</span>Simplify each term<span>.
</span><span><span>28−16i−49i−28/</span>65

Simplify
</span><span><span>−65i/</span>65

</span><span>−i</span>
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