Question

If \( x = -5 \) is a root of the equation \[ \begin{vmatrix} 2x+1 & 4 & 8 \\ 2 & 2x & 2 \\ 7 & 6 & 2x \end{vmatrix} = 0 \] then the other roots are

• A. \( 3.5, 5 \)
• B. \( 13.5, 2 \)
• C. \( 1.7 \)
• D. \( 1.2 \)

Hint:

To find the roots of a determinant equation, evaluate the determinant and solve the resulting polynomial equation.

Answer 1

The Correct Option is B

Step 1: Evaluating the determinant.
We solve the determinant equation to find the roots. After calculating, we find the roots \( 13.5 \) and \( 2 \).

Step 2: Conclusion.
Thus, the correct answer is option (B).

Final Answer: \[ \boxed{\text{(B) } 13.5, 2} \]