Multiple choice general knowledge math & puzzles

If a quadratic equation has roots such that the sum of roots is 6 and product of root is 10. then we can be sure about the roots to be

  1. irrational only

  2. imaginary only

  3. real only

  4. can be real, imaginary or irrational

  5. real and imaginary only

  6. real and irrational only
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

For a quadratic with sum of roots 6 and product of roots 10, the discriminant is (sum)^2 - 4(product) = 36 - 40 = -4, which is negative. A negative discriminant means the roots are complex conjugates (non-real), so they must be imaginary rather than real, rational, or irrational.

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