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BITSAT2023MathematicsQuadratic EquationActual

If one root of the equation x^2+p x+12=0 is 4, while the equation x^2+p x+q=0 . has equal roots, then the value of ' q ' is

Options

  1. A4
  2. B12
  3. C3
  4. D49 4

Correct answer

D. 49 4

Step-by-step solution

4 is a root of x^2+p x+12=0 16+4 p+12=0 p=-7 Now, the equation x^2+p x+q=0 has equal roots. p^2-4 q=0 q= p^2 4 = 49 4

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