Two things: Images aren’t loading on a PC in Chrome

Also on number 3, I solved it by foiling 5-7i and a+bi, then the bi and ai elements equal to each other (because they have to equal zero), solving for b and then plugging -7a/5 into the equation 5a-7bi^2 = 48 o get a = 10, which I plugged back into the first equation to get 14. I see that your solution is much more elegant, but my question is this: is the reasoning sound here? Or did I get lucky and this wouldn’t work for other examples? Sorry for the long question!

## Comments (1)

Two things: Images aren’t loading on a PC in Chrome

Also on number 3, I solved it by foiling 5-7i and a+bi, then the bi and ai elements equal to each other (because they have to equal zero), solving for b and then plugging -7a/5 into the equation 5a-7bi^2 = 48 o get a = 10, which I plugged back into the first equation to get 14. I see that your solution is much more elegant, but my question is this: is the reasoning sound here? Or did I get lucky and this wouldn’t work for other examples? Sorry for the long question!