(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\alpha[/itex] and [itex]\alpha^{2}[/itex] are two roots of the equation x[itex]^{2}[/itex] -12x + k = 0

Find 2 values for k.

3. The attempt at a solution

[itex]\alpha[/itex] + [itex]\alpha[/itex][itex]^{2}[/itex] = 12

[itex]\alpha[/itex][itex]^{3}[/itex] = k

I have no idea where to go from here. Any help appreciated.

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# Homework Help: Roots of a quadratic equation.

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