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Saiyan
 one year ago
Algebra 2 Complex Numbers
Help if you can
Simplify the expression?
6+i/5+i
A. 31+i/26
B. 29+i/26
C.31+i/24
D.31+11i/26
Saiyan
 one year ago
Algebra 2 Complex Numbers Help if you can Simplify the expression? 6+i/5+i A. 31+i/26 B. 29+i/26 C.31+i/24 D.31+11i/26

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4multiply the numerator and denominator by the conjugate of the denominator

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4look at the denominator 5+i change the sign in the middle

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4right, the conjugate of 5+i is 5i now, go back to the original expression (6+i)/(5+i) multiplying the numerator and denominator by (5i) gives us [(5i)(6+i)] / [(5+i)(5i)] simplify

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4hint: use the foil method on the numerator and denominator

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4almost, check your denonimator again

Saiyan
 one year ago
Best ResponseYou've already chosen the best response.0ok i checked it and it gave me the same thing for the denominator i^2+25

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4right, there was a negative sign in front of i^2 that you missed before so we have (i^2+30+i)/(i^2+25) we can rewrite this if we recognize that i^2 = 1 can you try substituting 1 for i^2 into your expression now?

Saiyan
 one year ago
Best ResponseYou've already chosen the best response.0So i would replace 1 with all the i^2

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4yes, whenever you see "i^2" you can replace it with 1

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4almost but not quite check your denominator again

Saiyan
 one year ago
Best ResponseYou've already chosen the best response.0did i mess up with the double negative in the denominator

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4i^2+25 = (1) + 25 = ?

Saiyan
 one year ago
Best ResponseYou've already chosen the best response.0ok it would be B. 29+i/26

Saiyan
 one year ago
Best ResponseYou've already chosen the best response.0Thankyou for helping me

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.4@Saiyan uh, small correction, I made a mistake with the numerator the numerator should be 30+ii^2, giving is (31+i)/(26), sorry > >
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