Multiple choice

If the roots of the equation $2x^2+ax+b=0$ are reciprocals to each other, then the value of b is

  1. $-1$
  2. $-2$
  3. $2$
  4. $1$
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C Correct answer
Explanation

If roots are reciprocals, their product is 1. For ax^2 + bx + c = 0, product of roots = c/a. Here, b/2 = 1, so b = 2.

AI explanation

If the roots of the equation ax^2 + bx + c = 0 are reciprocals of each other, their product must equal 1. The product of the roots is given by c/a, so here it equals b/2. Setting b/2 = 1 gives b = 2.

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