If then, value of x is

Question:

If then, value of x is

(A) 3 (B) ± 3 (C) ± 6 (D) 6

$\left|\begin{array}{cc}2 x & 5 \\ 8 & x\end{array}\right|=\left|\begin{array}{cc}6 & -2 \\ 7 & 3\end{array}\right|$

Solution:

Option (C) ± 6

From the given,

On equating the determinants, we have

2x2 – 40 = 18 + 14

2x2 = 72

x2 = 36

Thus, x = ± 6

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