alleryIf the roots of x^2 + bx + c = 0 are 4 and -1, then (b, c) is
Ab = 3 and c = 4 with same logic
Bb = -3 and c = -4
Cb = -5 and c = 4 with same logic
Db = 4 and c = -1 with same logic
Answer & Solution
Correct answer: B. b = -3 and c = -4
1. For x^2 + bx + c = 0, sum of roots is -b and product is c.
2. Sum = 4 + (-1) = 3, so -b = 3, b = -3.
3. Product = 4 * (-1) = -4, so c = -4.
4. Hence b = -3 and c = -4.
_Source: Selina Concise Mathematics Class 10, Ch 5 Quadratic Equations (Mistral OCR'd PDF), section on relations between roots and coefficients_
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