Find two different solutions to the equation

a + b i = 4 + 5 i

Question

Find two different solutions to the equation

a + b i = 4 + 5 i

mathslover · Answer

Hello gayabee. First of all Welcome To OpenStudy.

anonymous · Answer

Why thank you :)

anonymous · Answer

i m wondering about the second solution

anonymous · Answer

Yeah, I got the first ones where a= 4 and b = 5

mathslover · Answer

I have : $a + bi = 4 + 5 i $ 

By equating real parts of the both sides : Real Part of  (a+bi) = Real part of (4+ 5i) 

Real part of (a+bi) = a and Real part of (4+5i) = 4

so a = 4

mathslover · Answer

yes and by equating imaginary parts : b = 5

anonymous · Answer

But apparently there are 2 sets of solutions
that being the first set.

mathslover · Answer

There will only be a single set of soln .

anonymous · Answer

i also think that

anonymous · Answer

I thought that too but apparently not.
I'm on my uni site doing an online quiz

mathslover · Answer

Do you have options?

anonymous · Answer

where a and b are real or complex numbers, and neither of a or b is zero.

1 and 2.
Solution One:	a =		b =	
3 and 4.
Solution Two:	a =		b =

anonymous · Answer

That's all I've got

mathslover · Answer

Hmm, put in the first one , a = 4 and b = 5 and let the second one be empty. is it allowed to do so?

mathslover · Answer

Can you snap the question and attach here?

primeralph · Answer

we could extend this to another space of complex numbers.
Do you understand Re and Im graphs?

anonymous · Answer

yes i do

mathslover · Answer

@primeralph are you sure that you can arrive to another different set of solution for a and b in a + b = 4 + 5i ? [ we have one soln as  : a = 4 and b = 5 ]

mathslover · Answer

@gayabee please snap the quest. and post here.

anonymous · Answer

i can't seem to snap it but this is exactly what it is
-----------------------------------------------------------------
Find two different solutions to the equation

a + b i = 4 + 5 i
where a and b are real or complex numbers, and neither of a or b is zero.

1 and 2.
Solution One:	a =		b =	

3 and 4.
Solution Two:	a =		b =

primeralph · Answer

@mathslover  simply speaking, no. Analytically speaking, yes.
@gayabee  perfect, but I must warn you, this isn't really an answer unless it is specially requested.

anonymous · Answer

all right. got that. thank you! @primeralph

primeralph · Answer

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