If x = −4 Is a Root of |x 2 3; 1 x 1; 3 2 x| = 0, Then Find the Sum of the Other Two Roots
Given x=−4 satisfies the determinant equation |x 2 3; 1 x 1; 3 2 x|=0, expand it into a cubic and find the sum of the remaining two roots.
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Determinant Dk Sum From k=1 to n Equals 96, Find n
A JEE Main 2023 problem: sum the determinant D_k of a given 3×3 matrix from k=1 to n, set the total to 96, and solve for n.