Question

What is quotient of (-2+i)/(-8-6i)

Answer 1

Answer:

You can't actually divide those, but you can rationalize the denominator.  You have to multiply by the conjugate.

Step-by-step explanation:

Step 1.  find the conjugate of the bottom (switch the sign of the coefficient of i)

-8 + 6i.

Step 2.  Foil (-8 - 6i) (-8 + 6i) and combine like terms to get your denominator.  Remember i squared = (-1).

Step 3.  Foil (-2 +i) (-8 + 6i) to get your numerator.

Step 4. Write the fraction.

Step 5. Simplify as needed.