AP EAMCET · Maths · Quadratic Equation
If is a positive integer such that the roots of the equation are rational numbers, then the smallest possible value of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given, 7x2-13x+a=0 For rational roots D≥0 and D must be perfect square. ⇒169-28a≥0 Now, we see from options that a=7 & a=8 are not possible as then D<0. For a=5, D=168-28×5=29≥0 But it is not perfect square. For a=6,…
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