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Find the total number of distinct real values of x for which the 3x3 determinant with rows (x, x², 1 + x³), (2x, 4x², 1 + 8x³), (3x, 9x², 1 + 27x³) equals 10.
- 0
- 1
- 2
- 3
Correct answer: 2
Solution
Expanding via column splitting reduces the determinant to a polynomial whose equation = 10 has exactly two distinct real roots.
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