Multiple choice

The quadratic equation 3x2 + 6x + 5 = 0 will have.

  1. real and distinct roots

  2. real and equal roots

  3. imaginary roots

  4. none of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Discriminant D = b^2 - 4ac = 6^2 - 4(3)(5) = 36 - 60 = -24. Since D < 0, the roots are imaginary.

AI explanation

To determine the nature of the roots of 3x^2 + 6x + 5 = 0, we calculate the discriminant using the formula b^2 - 4ac. Substituting the values gives 6^2 - 4(3)(5), which equals 36 - 60, or -24. Since the discriminant is less than zero, the quadratic equation has imaginary roots.

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