Multiple choice

Check whether $2x^2 - 3x + 5 = 0$ has real roots or no.

  1. The equation has real roots.

  2. The equation has no real roots.

  3. Data insufficient

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

Discriminant D = b^2 - 4ac = (-3)^2 - 4(2)(5) = 9 - 40 = -31. Since D < 0, the equation has no real roots.

AI explanation

To determine if the equation 2x^2 - 3x + 5 = 0 has real roots, we evaluate the discriminant using D = b^2 - 4ac. Substituting the values gives D = (-3)^2 - 4(2)(5), which equals 9 - 40 = -31. Because the discriminant is less than zero, the equation has no real roots.

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