Adding or subtracting complex numbers Subtract. (4-3i)-(6+2i) Write your answer as a complex number in standard form. \( \square \)
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Beyond the Answer
To subtract the complex numbers \( (4-3i) - (6+2i) \), you can rearrange it as follows: \( 4 - 3i - 6 - 2i \). Now, combine the real parts (4 and -6) and the imaginary parts (-3i and -2i). This gives you: Real part: \( 4 - 6 = -2 \) Imaginary part: \( -3i - 2i = -5i \) Therefore, the result in standard form is \( -2 - 5i \). Now, isn’t it interesting how complex numbers add a little twist to our traditional math? They can represent everything from electrical engineering to quantum physics! The beauty of them lies not just in their mathematical application, but in the creativity they allow. Moreover, every time you find a complex number’s conjugate, you’re stepping into the realm of solving equations that would otherwise remain unsolvable!