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

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प्रश्न

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

उत्तर

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

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अध्याय 6: Determinants - Exercise 6.6 [पृष्ठ ९१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.6 | Q 36 | पृष्ठ ९१

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