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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If the equation ax^2 + 2bx + c = 0 and ax^2 + 2cx + b = 0, a 0, b c , have a common root, then their other roots are the roots of the quadratic equation:

Options

  1. Aa^2x(x+1) + 4bc = 0
  2. Ba^2x(x+1) + 8bc = 0
  3. Ca^2x(x+2) + 8bc = 0
  4. Da^2x(1+2x) + 8bc = 0 .

Correct answer

D. a^2x(1+2x) + 8bc = 0 .

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