Question

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

Answer 1

The options are \[31+i \div 26\] \[29+i \div 26\] \[31+i \div 24\] \[31+11i \div 26\]

Answer 2

please, you have to multiply both numerator and denominator by (-5-i), namely:
\[\frac{( -6+i) }{ (-5+i) }=\frac{ (-6+i)*(-5-i) }{ (-5+i)*(-5-i) }=...\]
please try to complete the above calculus

Answer 3

I don't quite understand

Answer 4

@iatethepotato for example:
\[(-6+i)*(-5-i)=-6*(-5-i)+i*(-5-i)=\]
\[=30+6i-5i+1=31+i\]
now, please do the same with the denominator

Answer 5

the trick here is to get rid of the (i) in the denominator

Answer 6

you have (-5+i) so multiply by (-5+i)/(-5+i)

Answer 7

the denominator
(-5+i)*(-5-i)=25+5i-5i-i^2=25-(-1)=25+1=26

Answer 8

Okay I see now thank you :)

Answer 9

YW