Question

is there a rational non zero value for b that allows you to factor x^2+b^2? Explain.
pretty pretty please help me T^T

Answer 1

i wonder if we can assume that there is, and work a contradiction from that

Answer 2

\[(x+\frac nm)(x+\frac nm)=x^2+2\frac nmx+(\frac nm)^2\]
\[(x-\frac nm)(x+\frac nm)=x^2+(\frac nm-\frac nm)x-(\frac nm)^2\]
\[(x-\frac nm)(x-\frac nm)=x^2-2\frac nmx+(\frac nm)^2\]
since none of the possible cases results in \(\large x^2+(\frac nm)^2\) then our assumption is contradicted

Answer 3

THANKS A BUNCH :D