Multiple choice

The roots of the quadratic equation x2 + 2x + 1 = 0 are:

  1. Real and distinct

  2. Real and equal

  3. Distinct

  4. Not real/Imaginary
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

x^2 + 2x + 1 = 0 is (x+1)^2 = 0. The roots are -1, -1. Since the roots are equal, the discriminant (b^2 - 4ac) = 2^2 - 4(1)(1) = 0.

AI explanation

Calculate the discriminant of the quadratic equation x^2 + 2x + 1 = 0 using the formula b^2 - 4ac. With a = 1, b = 2, and c = 1, the discriminant is 2^2 - 4(1)(1) = 4 - 4 = 0. Because the discriminant is exactly zero, the roots are real and equal.

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