CDS 2022 · PYQ · Algebra · medium
How many quadratic equations have the sum of their roots equal to the product of their roots?
Answer
The correct answer is D: Infinitely many. For ax²+bx+c=0, sum=-b/a, product=c/a. Setting -b=c gives infinitely many such equations.
- A.One
- B.Two
- C.Zero
- D.Infinitely many✓ Correct
For ax²+bx+c=0, sum=-b/a, product=c/a. Setting -b=c gives infinitely many such equations.
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