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Help!

 
 
Picture of David Tang
Help!
by David Tang - Wednesday, 17 June 2020, 5:48 PM
 

I'll need help on MC2BNT 2.21, 26-27.

 
Picture of Areteem Professor
Re: Help!
by Areteem Professor - Friday, 19 June 2020, 10:21 PM
 

Hi David. You are looking for help in Algebra, not Number Theory, right?

Here are some hints:

- 2.21: Expand the polynomial and compare with $ax^2 + bx + c = 0$, this should help getting rid of some terms. When looking at the solutions, you might want to use Vieta's formulas to rewrite them in terms of $x_1$ and $x_2$.

- 2.26: Try squaring $q$ and using Vieta's formulas.

- 2.27: Note Vieta's formulas tell you $-m = x_1 + x_2$, what is then $m^2$?