The set of all values of $k-1$, for which the equation $\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\left(3 x^2+4 x+2\right)+$ $k\left(3 x^2+4 x+2\right)^2=0$ has real roots is: [JEE Main 2021, 27 Aug (Shift 2)]

Question

The set of all values of $k>-1$, for which the equation $\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\left(3 x^2+4 x+2\right)+$ $k\left(3 x^2+4 x+2\right)^2=0$ has real roots is: [JEE Main 2021, 27 Aug (Shift 2)]

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The set of all values of \(k>-1\), for which the equation \(\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\…

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The set of all values of \(k&gt;-1\), for which the equation \(\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\…

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The set of all values of \(k>-1\), for which the equation \(\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\…