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If both the roots of the quadratic equation $x^2-2 k x+k^2+k-5=0$ are less than 5 , then $\mathrm{k}$ lies in the interval
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1113 Upvotes
Verified Answer
The correct answer is:
$(-\infty, 4)$
$(-\infty, 4)$
$$
\begin{aligned}
& \frac{-b}{2 a} < 5 \\
& f(5)>0 \\
& \Rightarrow k \in(-\infty, 4) .
\end{aligned}
$$
\begin{aligned}
& \frac{-b}{2 a} < 5 \\
& f(5)>0 \\
& \Rightarrow k \in(-\infty, 4) .
\end{aligned}
$$
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