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  • Please solve RD Sharma class 12 chapter Determinants exercise 5.1 question 11 maths textbook solution

Please solve RD Sharma class 12 chapter Determinants exercise 5.1 question 11 maths textbook solution

Answers (1)

Answer:

x=2

Hint:

Take determinant of matrix on both side and equate it.

Given:

\left|\begin{array}{lll} x^{2} & x & 1 \\ 0 & 2 & 1 \\ 3 & 1 & 4 \end{array}\right|=28

Solution:

\begin{aligned} &x^{2}(8-1)-x(0-3)+1(0-6)=28\\ &8 x^{2}-x^{2}+3 x-6=28\\ &7 x^{2}+3 x-34=0\\ &(7 x+17)(x-2)=0\\ &(\mathrm{x}=2) \text { or }\left(\mathrm{x}=\frac{-17}{7}\right)\\ &\mathrm{x}=\frac{-17}{7} \text { is not integer. So, } \mathrm{x}=2 \end{aligned}

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