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+1 vote
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in Determinants by (29.1k points)
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There are two values of a which makes the determinant Δ = \(\begin{vmatrix} 1 & -2 & 5 \\ 2 & a & -1 \\ 0 & 4 & 2a \end{vmatrix}\) equal to 86. The sum of these two values is

A. 4

B. 5

C. -4

D. 9

1 Answer

+2 votes
by (28.7k points)
selected by
 
Best answer

Correct answer is C.

Sum of roots = \(-\frac{b}{a}\) [b = 1and a = 1]

Sum of roots = -4

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