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Discriminating

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

Factorisable Quadratics

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.

Which Quadratic?

In this activity you will need to work in a group to connect different representations of quadratics.

Powerful Quadratics

Age 16 to 18
Find all real solutions of the equation
    $$(x^2−7x+11)^{(x2−11x+30)}=1.$$

If you were told that two numbers satisfied $a^b=1$, could you write down the possible numbers that a and b could be?

Can you apply the same logic to this question? You might have to think hard to find all the solutions to the given equation. There are more than three solutions”¦
This is an Underground Mathematics resource.