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Explain solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 36 maths textbook solution.

Answers (1)

Answer: -13

Hint: Here we use basic concept of determinant of matrix

Given : \left|\begin{array}{ll} 2 x+5 & 3 \\ 5 x+2 & 9 \end{array}\right|=0 find x

Solution :

\begin{aligned} &\text { Let } \Delta=\left|\begin{array}{ll} 2 x+5 & 3 \\ 5 x+2 & 9 \end{array}\right|=0 \\ &(2 x+5) 9-[3(5 x+2)]=0 \\ &18 x+45-15 x-6=0 \\ &3 x+39=0 \\ &3 x=-39 \\ &x=-13 \end{aligned}

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