210k views
3 votes
Write the quotient 254+3i in the form a + bi.

1 Answer

0 votes

Final answer:

The quotient 254+3i is already in the form a+bi. If the task involves division by a complex number, use the conjugate to eliminate the denominator's imaginary part.

Step-by-step explanation:

To write the quotient 254+3i in the form a + bi, we need to understand the concept of complex numbers and use algebraic operations. First, it must be noted that the expression provided may contain a typo, as 254+3i is already in the form a+bi. To address any possible calculation regarding quotients involving complex numbers, the conjugate method is often used. This involves multiplying the numerator and denominator of a complex fraction by the conjugate of the denominator to eliminate the imaginary part in the denominator. Applying the method generally, let's say we have a complex number (a+bi) and its complex conjugate (a-bi). Multiplying them gives us a² + b², a real number.

User Micole
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories