Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(4)+(14-4i)=
Express your answer in the form 
(a+bi).

(4)+(144i)= (4)+(14-4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

Full solution

Q. (4)+(144i)= (4)+(14-4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
  1. Identify real and imaginary parts: First, identify the real and imaginary parts of the complex numbers to be added.\newlineThe first number is 44, which is a real number with an imaginary part of 00. So we can write it as (4+0i)(4 + 0i).\newlineThe second number is already given in the form of a complex number: (144i)(14 - 4i).\newlineNow, we will add the real parts together and the imaginary parts together.
  2. Write the first number in complex form: Add the real parts: 44 (from the first number) and 1414 (from the second number).\newline4+14=184 + 14 = 18
  3. Write the second number in complex form: Add the imaginary parts: 0i0i (from the first number) and 4i-4i (from the second number).\newline0i4i=4i0i - 4i = -4i
  4. Add the real parts: Combine the results of the real and imaginary parts to express the sum in the form (a+bi)(a+bi).\newlineThe sum is (18)+(4i)(18) + (-4i), which can be written as (184i)(18 - 4i).

More problems from Composition of linear functions: find an equation

QuestionGet tutor helpright-arrow

Posted 8 hours ago