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