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Basic Mathematics QUESTION #7653
Question 1
If the sum and product of the roots of a quadratic equation are 55 and 66 respectively, which of the following represents the correct quadratic equation?
  • \(x^2 - 55x + 66 = 0\)✔️
  • \(x^2 + 55x - 66 = 0\)
  • \(x^2 - 55x - 66 = 0\)
  • None of these
Correct Answer Explanation
For a quadratic equation \(x^2 - Sx + P = 0\), where S is the sum of roots and P is the product of roots. Given: sum = 55 and product = 66. Therefore, the equation is \(x^2 - 55x + 66 = 0\). This follows from Vieta's formulas.