[JEE Advanced 1984] if the product of the roots of x 2 3kx 2e 2 ln k
If the product of the roots of $x^2-3kx+2e^{2\ln k}-1=0$ is $7$, the roots are real for $k=$ ____
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· 3d ago
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Answer: $k=2$.
$2e^{2\ln k}-1=2k^2-1=7\Rightarrow k=2$; discriminant $9k^2-4(2k^2-1)=8>0$, so the roots are real.
JEE Advanced 1984 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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