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Please solve RD Sharma class 12 chapter Determinants exercise 5.1 question 10 subquestion (iii) maths textbook solution

Answers (1)

Answer:

x=\pm 2\sqrt{2}

Hint:

Take determinant of matrix on both side and equate it.

Given:

\begin{aligned} &\left|\begin{array}{ll} 3 & x \\ x & 1 \end{array}\right|=\left|\begin{array}{ll} 3 & 2 \\ 4 & 1 \end{array}\right| \\ \end{aligned}

Solution:

\begin{aligned} &\left|\begin{array}{ll} 3 & x \\ x & 1 \end{array}\right|=\left|\begin{array}{ll} 3 & 2 \\ 4 & 1 \end{array}\right| \\ &3-x^{2}=3-8 \\ &-x^{2}=-5-3 \\ &x^{2}=8 \\ &x=\pm 2 \sqrt{2} \end{aligned}

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Gurleen Kaur

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