AP EAMCET · Maths · Matrices
Sum of the positive roots of the equation
\(\left|\begin{array}{ccc}x^2+2 x & x+2 & 1 \\ 2 x+1 & x-1 & 1 \\ x+2 & -1 & 1\end{array}\right|=0\)
- A \(\frac{1+\sqrt{13}}{2}\)
- B \(1\)
- C \(\frac{\sqrt{13}-1}{2}\)
- D \(3\)
Answer & Solution
Correct Answer
(A) \(\frac{1+\sqrt{13}}{2}\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}x^2+2 x & x+2 & 1 \\ 2 x+1 & x-1 & 1 \\ x+2 & -1 & 1\end{array}\right|=0\) \(\mathrm{R}_2 \rightarrow \mathrm{R}_2-\mathrm{R}_1, \mathrm{R}_3 \rightarrow \mathrm{R}_3-\mathrm{R}_1\)…
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