124k views
4 votes
Express $\dfrac{30+19i}{4+9i}$ in the form $a + bi$, where $a$ and $b$ are real numbers

1 Answer

1 vote

Question:

Express (30 +1 9i)/(4+ 9i) in a form a + bi, where a and b are real numbers.

Answer:

3 - 2i

Step-by-step explanation:

The conjugate of 4+9i is 4-9i. Multiplying the numerator and denominator by 4-9i, we get

Express $\dfrac{30+19i}{4+9i}$ in the form $a + bi$, where $a$ and $b$ are real numbers-example-1
User RuntimeException
by
4.1k points