Find the real value bb such that (2+bi)(3−4i)(2 + bi)(3 − 4i) is a real number.

Multiplying and Dividing Complex Numbers

9. Roots, Radicals, and Complex Numbers / Multiplying and Dividing Complex Numbers / Problem 3

Problem 3

Find the real value $b$ such that $(2 + b i) (3 - 4 i)$ is a real number.

$0$

$4$

$- \frac{8}{3}$

$\frac{8}{3}$