Question
Download Solution PDFFor how many quadratic equations, the sum of roots is equal to the product of roots?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For a quadratic equation ax2 + bx + c = 0
Sum of roots = -b/a
and the product of roots = c/a
Calculation:
If the sum of roots = product of roots
⇒ \(\frac{-b}{a}=\frac ca\)
⇒ -b = c
So, there can be infinitely many quadratic equations with -b = c and a ≠ 0
∴ The correct option is (4).
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