Find the value of x, if \[\begin{vmatrix}2x & 5 \\ 8 & x\end{vmatrix} = \begin{vmatrix}6 & 5 \\ 8 & 3\end{vmatrix}\]

\[\text{ Given }: \begin{vmatrix}2x & 5 \\ 8 & x\end{vmatrix} = \begin{vmatrix}6 & 5 \\ 8 & 3\end{vmatrix}\] \[ \Rightarrow 2 x^2 - 40 = 18 - 40\] \[ \Rightarrow 2 x^2 = 18\] \[ \Rightarrow x^2 = 9\] \[ \Rightarrow x = \pm 3\]

Find the Value of X, If ∣ ∣ ∣ 2 X 5 8 X ∣ ∣ ∣ = ∣ ∣ ∣ 6 5 8 3 ∣ ∣ ∣ - Mathematics

Question

Find the value of x, if

$| \begin{matrix} 2 x & 5 \\ 8 & x \end{matrix} | = | \begin{matrix} 6 & 5 \\ 8 & 3 \end{matrix} |$

Solution

$Given : | \begin{matrix} 2 x & 5 \\ 8 & x \end{matrix} | = | \begin{matrix} 6 & 5 \\ 8 & 3 \end{matrix} |$
$\Rightarrow 2 x^{2} - 40 = 18 - 40$
$\Rightarrow 2 x^{2} = 18$
$\Rightarrow x^{2} = 9$
$\Rightarrow x = \pm 3$

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Applications of Determinants and Matrices

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Q 10.6 Q 10.5 Q 11

Chapter 6: Determinants - Exercise 6.1 [Page 10]

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Chapter 6 Determinants
Exercise 6.1 | Q 10.6 | Page 10

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Find the Value of X, If ∣ ∣ ∣ 2 X 5 8 X ∣ ∣ ∣ = ∣ ∣ ∣ 6 5 8 3 ∣ ∣ ∣ - Mathematics

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