Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(-30 i)+(52-30 i)=
Express your answer in the form 
(a+bi).

(30i)+(5230i)= (-30 i)+(52-30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

Full solution

Q. (30i)+(5230i)= (-30 i)+(52-30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
  1. Combine complex numbers: To add two complex numbers, we combine the real parts and the imaginary parts separately.\newline(30i)+(5230i)=(0+52)+(30i30i)(-30i) + (52 - 30i) = (0 + 52) + (-30i - 30i)
  2. Add real parts: Now, we add the real parts: 0+52=520 + 52 = 52.\newlineAnd we add the imaginary parts: 30i30i=60i-30i - 30i = -60i.
  3. Add imaginary parts: Combine the real and imaginary parts to express the sum in the form (a+bi)(a + bi).\newlineThe sum is 5260i52 - 60i.

More problems from Composition of linear functions: find an equation