The roots of the equation $3x^2-9x-2=0$ are $\alpha$ and $\beta$. Without solving the equation

Question

The roots of the equation $3x^2-9x-2=0$ are $\alpha$ and $\beta$. Without solving the equation, find an equation with integer coefficients whose roots are $\alpha^2$ and $\beta^2$.

Accepted Answer

$9x^2-93x+4=0$

Squared roots from fractional coefficients

Squared roots from fractional coefficients

Solution:

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