Does the parabola with equation x2 - x + 4 = 0 have real or imaginary roots?

1.

Real, because the discriminant is positive

2.

Real, because the discriminant is negative

3.

Imaginary, because the discriminant is positive

4.

Imaginary, because the discriminant is negative

Question

Mathematics

Peyton Kaiser

2 September, 20:14

Does the parabola with equation x2 - x + 4 = 0 have real or imaginary roots?

1.

Real, because the discriminant is positive

2.

Real, because the discriminant is negative

3.

Imaginary, because the discriminant is positive

4.

Imaginary, because the discriminant is negative

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Answers (1)

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Giuliana Carter · Answer 1

4. If the determinant delta of a quadratic equation is positive, the equation has two real roots. If the determinant is negative, it has two imaginary roots. In this case, delta=b^2-4ac = (-1) ^2-4*1*4=-15. Therefore, this equation has two imaginary roots.

Does the parabola with equation x2 - x + 4 = 0 have real or imaginary roots?1.Real, because the discriminant is positive2.Real, because the discriminant is negative3.Imaginary, because the discriminant is positive4.Imaginary, because the discriminant is negative

Does the parabola with equation x2 - x + 4 = 0 have real or imaginary roots?

1.

Real, because the discriminant is positive

2.

Real, because the discriminant is negative

3.

Imaginary, because the discriminant is positive

4.

Imaginary, because the discriminant is negative