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Shuckle
 one year ago
Write each quotient as a complex number.
2i / 1+i
Is 2/1 and +2i/1 the correct answer?
Shuckle
 one year ago
Write each quotient as a complex number. 2i / 1+i Is 2/1 and +2i/1 the correct answer?

This Question is Closed

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm \frac{2i}{1+i}\left(\frac{1i}{1i}\right)=\frac{2i2}{2}\]Hmm, do you understand this step that I applied?

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2Yes, I understand that you have to multiply the numerator and denominator by the complex conjugate of the denominator. But from doing that I got the numbers\[\frac{ 2+2i^{2}}{ 11i+1i1^{2}}\]

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2Wow that thing is hard to use. _

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Woops your denominator is \(\large\rm 11i+1ii^2\)

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2Oh I see, the one is an i. But I still don't know what the final solution should be?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2So the middle terms cancel out in the denom, ya? :)\[\large\rm \frac{ 2+2i^{2}}{ 11i+1ii^{2}}=\frac{ 2+2i^{2}}{ 1i^{2}}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2i^2 is 1, so the negatives give us a +1 in that spot

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2Yes, and then multiplied to the denominator of +1 give you a negative one on the bottom?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm =\frac{ 2+2(1)}{ 1(1)}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2No you're not multiplying, you're adding down there.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Oh woops that's a 2i for the first term in the numerator :O

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm =\frac{ 2i+2(1)}{ 1(1)}\]

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2So after that it should be 2i 2 over 1?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2No, your denominator simplifies to this:\[\large\rm =\frac{ 2i+2(1)}{ 1+1}\]

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2because (1)() makes a positive one, right?

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2So then, it'd be 2+2i over 1+1 which will equal 2 +2i over 2, and then I should divide?

Shuckle
 one year ago
Best ResponseYou've already chosen the best response.2So the answer is 1i?
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