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answers can be 54, 61, 49, 52 and none

2006-12-03 09:27:03 · 6 answers · asked by scoota 1 in Science & Mathematics Mathematics

6 answers

What is your question?

I will help you if you tell me what you are solving for.

Is (4 + 6i) equal to something?
______________________________

Rhsaunder is correct.
__________________________________

If we're directed to multiply by the complex number's conjigate. . .
Then, the product is 52.
___________________________________

GIVEN:
(4 + 6i)

EVALUATE:
by multiplying by its conjigate.
_____________________________

REMEMBER:
A conjigate is identical, except for the sum or difference.

If the factor is a sum of two numbers. . .
Then, it's conjigate will be the difference of those same two numbers.

The conjigate of (4 + 6i) is (4 - 6i).

To get the product, we MULTIPLY the complex number with its conjigate.
__________________________________

SOLUTION:
(4 + 6i)(4 - 6i)
16 -24i + 24i - 36i²
16 + 0 - 36i²
16 - 36i²
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REMEMBER:
i² = -1

SUBSTITUTE the known value of i² using (PARENTHESIS).
________________________________________________

16 - 36i²
16 - 36(-1)
16 + 36

SIMPLIFY by combining "like" terms.
___________________________________

FINAL ANSWER:
52

Hope that was the question!
And this is what you were looking for. ♥

2006-12-03 09:31:28 · answer #1 · answered by LovesMath 3 · 1 0

You don't show a question.
4 + 61 is a complex number.
54, 61, 49 and 52 are integers.

MAYBE you have to calculate (4+6i)(4-6i).
It is 16 + 36 = 52
4-6i and 4+61 have been 'conjugated'.

MAYBE you need the modulus of 4 + 6i
It is 16 + 36 = 52 as well

Th

2006-12-03 09:33:42 · answer #2 · answered by Thermo 6 · 1 0

The question is incomplete. The complex number 4+6i is equal to none of those. However, the product of that number and its complex conjugate is 52, so that is probably the answer that is wanted.

2006-12-03 09:30:05 · answer #3 · answered by Anonymous · 1 0

i am assuming that you are adding vectors...
if this is the case the it is simply solved by using a right traingle
4^2 + 6^2 = 52. take the square root of this and you would get the answer. based on your answers above it would be none i guess.

2006-12-03 09:35:06 · answer #4 · answered by Mike 2 · 1 0

|4+6i| = √(4² + 6²)
= √(52)

OR |4+6i|² = 52

I am unsure what you are seeking but this was one way I could see to get one of the answers you had

2006-12-03 09:34:08 · answer #5 · answered by Wal C 6 · 0 2

that's not a complete question.

Is i supposed to be the imaginary number sqrt(-1), or a variable?

2006-12-03 09:30:45 · answer #6 · answered by Jim Burnell 6 · 0 0

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