Challenge question #47 (27/03/2017)
Junior Question
Use $+$ or $-$ signs to make the following statement true:
$1^{2}\ {\LARGE\Box}$ $2^{2}\ {\LARGE\Box}$ $3^{2}\ {\LARGE\Box}$ $4^{2}\ {\LARGE\Box}$ $5^{2}\ {\LARGE\Box}$ $6^{2}\ {\LARGE\Box}$ $7^{2}=$ $0$
Senior Question
$a$ and $b$ are two of the roots of $x^{3}-x+1=0$.
Show that $ab$ is a root of $x^{3}+x^{2}-1=0$.
