Multiple choice

State the nature of the given quadratic equation $(x +1) (x + 2) + 2 = 0$

  1. Real and Distinct Roots

  2. Imaginary roots

  3. Real and Equal rrots

  4. None  of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Expanding gives x^2 + 3x + 4 = 0. Its discriminant is 3^2 - 4(1)(4) = -7, which is negative, so the roots are imaginary.

AI explanation

Expanding the equation gives x^2 + 3x + 4 = 0. The discriminant is D = b^2 - 4ac = 3^2 - 4(1)(4) = 9 - 16 = -7. Since the discriminant is less than zero, the quadratic equation has imaginary roots.

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