Find value of x, if | cc 2 & 4 5 & 1 |= | cc 2 x & 4 6 & x | - Vidyadip

Question

Find value of $x$, if $\left|\begin{array}{cc}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|$

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Answer

$(2 – 20) = (2x^2– 24)$
$-18 = 2x^2– 24$
$-2x^2 = -24 + 18$
$-2x^2 = -6$
$2x^2 = 6$
$x^2 = 3$
$x = \pm \sqrt 3 $

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