Multiple choice general knowledge math & puzzles

In an regular expression 4x^2+2x+1. sum of roots + product of roots

  1. 1\2

  2. -1\2

  3. 1\4

  4. -1\4
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D Correct answer
Explanation

This is identical to question 115619. For 4x²+2x+1=0: sum of roots = -2/4 = -1/2, product = 1/4. Adding gives -1/4, consistent with Vieta's formulas for quadratic equations.

AI explanation

For a quadratic ax^2+bx+c, the sum of roots is -b/a and the product of roots is c/a. Here a=4, b=2, c=1, so sum = -2/4 = -1/2 and product = 1/4. Adding them gives -1/2 + 1/4 = -1/4.

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