Assertion: parabola's discriminant | /r/HasProperty | positive
Facets:
Source sentences:
text: If the discriminant is positive, then the equation does have real roots: D = b 2 − 4 a c = ( − 2 ) 2 − 4 × 1 × ( − 4 ) = 4 + 16 = 20 > 0.
text: b 2 b^2 b2 is always positive, so there is no way that the discriminant will be negative.
text: Since the discriminant is positive, we can conclude that the equation has real roots.
text: D​=b2−4ac=(−5)2−4×2×3=25−24=1>0.​ Since the discriminant is positive, we can say that the parabola intersects the x x x-axis twice.
text: If the discriminant is positive, the equation has two real solutions.
text: The parabola on the left has a positive discriminant.
text: If the discriminant is negative, it has two imaginary solutions.
text: The parabola on the right has a negative discriminant.