Let f(x)={{x}^{2}}-x+k-2,kin R then the | vedclass

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Question

Both roots of the equation $x^{2}-x+k-2=0$ must be positive and distinct.

$	herefore D>0 \Rightarrow 1-4(\mathrm{k}-2)>0 \Rightarrow \mathrm

Vedclass · Accepted Answer

$\left( 2,\frac{9}{4} \right)$

Vedclass · Answer

Both roots of the equation $x^{2}-x+k-2=0$ must be positive and distinct.

$	herefore D>0 \Rightarrow 1-4(\mathrm{k}-2)>0 \Rightarrow \mathrm{k}<\frac{9}{4}$

$\alpha \beta>0 \Rightarrow \mathrm{k}-2>0 \Rightarrow \mathrm{k}>2$

$\alpha+\beta>0 \Rightarrow$ true

$	herefore k \in\left(2, \frac{9}{4}ight)$

Let $f(x)={{x}^{2}}-x+k-2,k\in R$ then the complete set of values of $k$ for which $y=\left| f\left( \left| x \right| \right) \right|$ is non-derivable at $5$ distinict points is

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