Answered

Simplify the following Complex Numbers.

\frac{1-3i}{2+5i}
2+5i
1−3i
​

Sagot :

Tanveerzamar39id

Answer:

{1-3i}{2+5i}

Step-by-step explanation:

  1. 1(2+5i)-3i(2+5i)
  2. 2+5i-6i+15i2
  3. 2+5i-6i+15(-1)
  4. 2+5i-6i-15
  5. 2-15+5i-6i
  6. -13-i (answer)

Answer:

[tex]\frac{-13 - 11i}{29}[/tex]

Step-by-step explanation:

You need to multiply the numerator and denominator by the conjugate of

2 + 5i, which is 2 - 5i

So, [tex]\frac{(1 - 3i)(2 - 5i)}{(2 + 5i)(2 - 5i)} = \frac{2 - 11i - 15}{4 +25} = \frac{-13 - 11i}{29}[/tex]