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Ksenya-84 [330]
3 years ago
6

Write the expression in standard form. 2/(2-15i)

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
<h3>Answer:</h3>

d. 4/229 +30/229i

<h3>Explanation:</h3>

Multiply numerator and denominator by the conjuate of the denominator, then simplify.

\dfrac{2}{2-15i}=\dfrac{2}{(2-15i)}\cdot\dfrac{(2+15i)}{(2+15i)}=\dfrac{4+30i}{2^2-(15i)^2}\\\\=\dfrac{4+30i}{4+225}=\dfrac{4}{229}+\dfrac{30}{229}i

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