Multiple choice

The nature of the roots of the quadratic equation (x + 12) (x + 6) = 42 satisfy the following:

  1. both the roots are irrational

  2. both the roots are negative and rational

  3. one of the roots is positive and the other one is negative, and both are rational

  4. More than one of the above
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B Correct answer
Explanation

(x + 12)(x + 6) = 16. x^2 + 18x + 72 = 16. x^2 + 18x + 56 = 0. Factoring: (x + 14)(x + 4) = 0. The roots are -14 and -4. Both are negative and rational.

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