If \[\begin{vmatrix}2x + 5 & 3 \\ 5x + 2 & 9\end{vmatrix} = 0\]

If ∣ ∣ ∣ 2 X + 5 3 5 X + 2 9 ∣ ∣ ∣ = 0 - Mathematics

Question

If $| \begin{matrix} 2 x + 5 & 3 \\ 5 x + 2 & 9 \end{matrix} | = 0$

Solution

$| \begin{matrix} 2 x + 5 & 3 \\ 5 x + 2 & 9 \end{matrix} | = 0$
$\Rightarrow 9 (2 x + 5) - 3 (5 x + 2) = 0$
$\Rightarrow 18 x + 45 - 15 x - 6 = 0$
$\Rightarrow 3 x + 39 = 0$
$\Rightarrow 3 x = - 39$
$\Rightarrow x = \frac{- 39}{3} = - 13$

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Applications of Determinants and Matrices

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Q 36 Q 35 Q 37

Chapter 6: Determinants - Exercise 6.6 [Page 91]

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Chapter 6 Determinants
Exercise 6.6 | Q 36 | Page 91

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If ∣ ∣ ∣ 2 X + 5 3 5 X + 2 9 ∣ ∣ ∣ = 0 - Mathematics

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