Equality of Complex Numbers

[nycmathguy]

Section 2.4
7 - 10

Equality of Complex Numbers

Two complex numbers a + bi and c + di, written in standard form, are equal to each other
a + bi = c + di if and only if a = c and b = d.

Based on the definition above, the answer for questions 7 and 8 is as follows:

For 7, a = 9, b = 8.

For 8, a = 10, b = -5

How is 9 done? I will do 10 following your reply to question 9.

 

[MathLover1]

9. use a + bi = c + di if and only if a = c and b = d

(a-2)+(b+1)i=6+5i
=>
(a-2)=6 =>a=8
and
(b+1)=5 =>b=4

 

[nycmathguy]

9. use a + bi = c + di if and only if a = c and b = d

(a-2)+(b+1)i=6+5i
=>
(a-2)=6 =>a=8
and
(b+1)=5 =>b=4

Ok. I get it.

Let me try 10.

a + 2 = 4

a = 4 - 2

a = 2

b - 3 = 7

b = 7 + 3

b = 10

Yes?

 

[MathLover1]

correct

 

[nycmathguy]

correct

I got number 10 right thanks to you. I an enjoying our precalculus journey together.