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MHT CET202617 April 2026Evening ShiftMathematicsQuadratic EquationActual

If A and B are the roots of the equation 5x^2 - 4x + 1 = 0 , then the value of A + B is...

Options

  1. A6
  2. B4
  3. C3
  4. D2

Correct answer

B. 4

Step-by-step solution

Given that A and B are the roots of the quadratic equation 5x^2 - 4x + 1 = 0 . Sum of the roots: A + B = - -4 5 = 4 5 Product of the roots: A B = 1 5 Using the trigonometric identity for the tangent of a sum: (A + B) = A + B 1 - A B Substituting the values of the sum and product of the roots: (A + B) = 4 5 1 - 1 5 (A + B) = 4 5 4 5 = 1 Therefore, A + B = 4 Answer: 4

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