Question

simplify the expression -6+i/-5+i

Answer 1

HI!!

Answer 2

dies it really say "simplify"? instead of for example "write in standard form as \(a+bi\)"?

Answer 3

multiply top and bottom by the "conjugate" of the denominator
the conjugate of \(a+bi\) is (a-bi\) and this works because \[(a+bi)(a-bi)=a^2+b^2\] a real number

Answer 4

i.e. compute \[\frac{-6+i}{-5+i}\times \frac{-5-i}{-5-i}\] the denominator will be \[56^2+1^2=26\] the numerator is whatever you get

Answer 5

i dont understand how you got that
do you mind explaining?

Answer 6

the answer choices are
a 31+i/26
b 29+i/26
c 31+i/24
d 31+11i/26