Question 29/40: Set 3 - Try Out 2026 - Mathematics (TKA) | Nakafa

Question 29

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Given the quadratic equation $x^2 - 4(k + 1)x + k^2 - k + 7 = 0$ where one root is three times the other root and all roots are greater than $2$ . The set of all values of $k$ that satisfy is....

No value satisfies

$\left\{k \in \mathbb{R} \mid k < \frac{-3 - \sqrt{13}}{2} \text{ or } k > \frac{-3 + \sqrt{13}}{2}\right\}$

$\{k \in \mathbb{R} \mid k > -1\}$

$\{-4, \frac{1}{2}\}$

$\left\{\frac{1}{2}\right\}$

Set 3