Question

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

Answer 1

Answer:

d. 4/229 +30/229i

Explanation:

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

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