Multiple choice

The roots of the equation ax2 + 3x + 6 = 0 will be reciprocal to each other if the value of a is

  1. 3

  2. 4

  3. 5

  4. 6
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D Correct answer
Explanation

For roots to be reciprocal, the product of roots (c/a) must be 1. Here, c=6 and a=a. So 6/a = 1, which means a = 6.

AI explanation

For the roots of the quadratic equation ax squared plus 3x plus 6 equals 0 to be reciprocals of each other, the product of the roots must equal 1. Using the relationship between roots and coefficients, the product of the roots is given by c divided by a, which is 6 divided by a. Setting 6 divided by a equal to 1 yields the value of a as 6.

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