Multiple choice

Say true or false: The equation $2x^2 + 3x - 2 = 0$ has real roots.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Discriminant D = b^2 - 4ac = 3^2 - 4(2)(-2) = 9 + 16 = 25. Since D > 0, the roots are real.

AI explanation

To determine if the roots are real, we calculate the discriminant, b^2 - 4ac, using the values a = 2, b = 3, and c = -2. The calculation is 3^2 - 4(2)(-2) = 9 + 16 = 25. Since the discriminant is positive, the equation has real and distinct roots.

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