If the sum and product of the roots of a quadratic equation are 2 and 100 respectively, then which one of the following is correct?
- A. There are infinitely many such equations having different roots.
- B. There is only one such equation which is x^{2}+2x-100=0.
- C. There is only one such equation which is x^{2}-2x-100=0.
- D. There is no such equation. ✓
Correct Answer: D. There is no such equation.
Explanation
A quadratic equation with sum of roots S=2 and product P=100 is given by x^2 - Sx + P = 0, which is x^2 - 2x + 100 = 0. Since this equation is not listed among the explicit single-equation options, the correct choice is that none of those equations represent it.
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