COMEDK20269 May 2026Morning ShiftMathematicsQuadratic EquationActual

If x = 4 is a root of vmatrix x & 3 1 & x - 2 vmatrix = 5 , then the other root is:

Options

Correct answer

B. -2

Step-by-step solution

Expanding the given determinant, we get x(x - 2) - 3(1) = 5 x^2 - 2x - 3 = 5 x^2 - 2x - 8 = 0 Factoring the quadratic equation, we get (x - 4)(x + 2) = 0 The roots are x = 4 and x = -2 . Since x = 4 is given as one root, the other root is -2 . Answer: -2

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