What is a-2b, where a=4-2i and b=3+2i?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
a - 2b
a = 4-2i
b = 3 + 2i
Find the answer, if the values will be substituted.
Solution:
Substitute the values of a and b in the given numerical expression.
= a - 2b
= (4 - 2i) - 2(3 + 2i)
= 4-2i - 6 -4i
= -2 - 6i
If we are asked to find the value of i, we simply transpose -6i to the other side of the equation. Note that in transposing numbers, the sign will always change. Next is to divide both sides by 6 in order to get the value of i.
6i = -2
i = -⅓