Question

Which quadratic equation has no real roots?

Choose exactly two answers that are correct.

2x^2 + x – 4 = 0

2 x^2 + x – 4 = 0

2x^2 – 5x – 3 = 0

2 x^2 – 5 x – 3 = 0

3x^2 – 2x + 4 = 0

3x^2 – 2 x + 4 = 0

–x^2 + x – 3 = 0

– x^2 + x – 3 = 0

Answer 1

The discriminant of a quadratic equation determines the nature of its roots. If the discriminant is negative, the quadratic equation has no real roots.

Therefore, the correct answers are:

2x^2 + x – 4 = 0

2 x^2 – 5 x – 3 = 0

3x^2 – 2 x + 4 = 0

–x^2 + x – 3 = 0