Multiple choice

State the nature of the given quadratic equation $3x^2 + 4x + 1 = 0$

  1. Real and Distinct Roots

  2. Real and Equal Roots

  3. Imaginary Roots

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

The discriminant D of the quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac. For 3x^2 + 4x + 1 = 0, D = 4^2 - 4(3)(1) = 16 - 12 = 4. Since D > 0, the roots are real and distinct.

AI explanation

The nature of the roots is determined by the discriminant, given by the formula b squared minus 4ac. For the equation 3x squared plus 4x plus 1 equals 0, the discriminant is 4 squared minus 4 times 3 times 1, which equals 16 minus 12, or 4. Since the discriminant is greater than zero, the roots are real and distinct.

Keep practicing — related questions