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) = (2x²– 24)
-18 = 2x$^2$– 24
-2x² = -24 + 18
-2x² = -6
2x² = 6
x² = 3
$x = \pm \sqrt 3 $

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