The integer 'k', for which the inequa | vedclass

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Question

$x ^{2}-2(3 K -1) x +8 K ^{2}-7>0$

Now, $D <0$

$\Rightarrow 4(3 K -1)^{2}-4 	imes 1 	imes\left(8 K ^{2}-7ight)<0$

$\Rightarrow 9

Vedclass · Accepted Answer

$3$

Vedclass · Answer

$x ^{2}-2(3 K -1) x +8 K ^{2}-7>0$

Now, $D <0$

$\Rightarrow 4(3 K -1)^{2}-4 	imes 1 	imes\left(8 K ^{2}-7ight)<0$

$\Rightarrow 9 K ^{2}-6 K +1-8 K ^{2}+7<0$

$\Rightarrow K ^{2}-6 K +8<0$

$\Rightarrow( K -4)( K -2)<0$

$\Rightarrow K \in(2,4)$

$k$ is interger so value of $k$ is $3$

The integer $'k'$, for which the inequality $x^{2}-2(3 k-1) x+8 k^{2}-7>0$ is valid for every $x$ in $R ,$ is

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