Multiple choice

What is nature of roots of the equation 2x2 + 5x - 4 = 0?

  1. Unreal roots

  2. Real roots

  3. Equal roots

  4. Only one real root
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The discriminant D = b^2 - 4ac = 5^2 - 4(2)(-4) = 25 + 32 = 57. Since D > 0, the equation has two distinct real roots.

AI explanation

To find the nature of the roots, we use the discriminant formula D = b^2 - 4ac for the given equation 2x^2 + 5x - 4 = 0. Substituting the values yields D = (5)^2 - 4(2)(-4) = 25 + 32 = 57. Since the discriminant is positive and not a perfect zero, the equation has real and distinct (unequal) roots.

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