Question

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

a. 4/229 - 30/229i
b. -4/229 + 30/229i
c. -4/229 - 30/229i
d. 4/229 +30/229i

Answer 1

d. 4/229 +30/229i

Step-by-step explanation:

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

`(2)/(2-15i)=(2)/((2-15i))\cdot((2+15i))/((2+15i))=(4+30i)/(2^2-(15i)^2)\\\\=(4+30i)/(4+225)=(4)/(229)+(30)/(229)i`