Cryptokyo TMUA Problem Set · Question 4

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Cryptokyo TMUA Problem Set · Q4

Functions & graphsAlgebra

A quadratic polynomial $f(x)$ has two distinct real roots $\alpha$ and $\beta$ . We are given that $\alpha\beta=1$ and that $\alpha+\beta=\gamma$ .

What is the possible range of values of $\gamma$ ?

\lvert\gamma\rvert<2

\gamma>2

\lvert\gamma\rvert>4

\lvert\gamma\rvert\ge2

\lvert\gamma\rvert>2

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