### Discriminating

You're invited to decide whether statements about the number of solutions of a quadratic equation are always, sometimes or never true.

This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.

$$(x^2âˆ’7x+11)^{(x2âˆ’11x+30)}=1.$$
If you were told that two numbers satisfied $a^b=1$, could you write down the possible numbers that a and b could be?