The total number of distinct for which vmatrix x & x^2 & 1+x^3 2x & 4x^2 & 1+8x^3 3x…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

The total number of distinct x∈Rx \in \mathbb{R} for which ∣xx21+x32x4x21+8x33x9x21+27x3∣=10\begin{vmatrix} x & x^2 & 1+x^3 \\ 2x & 4x^2 & 1+8x^3 \\ 3x & 9x^2 & 1+27x^3 \end{vmatrix} = 10

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