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Vanishing Roots
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Vanishing roots

If $y=x^2-6x+c$, and we vary $c$, what happens to the roots when $c>9$?

Opening the door
problem

Opening the door

Age
14 to 18
Challenge level
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What happens when we add together two complex numbers?

Strolling along
problem

Strolling along

Age
14 to 18
Challenge level
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What happens when we multiply a complex number by a real or an imaginary number?