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3 years ago

If the discriminant is negative then the quadratic has

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

Answer:

No real solutions (or has two complex roots)

Step-by-step explanation:

The discriminant, b² - 4ac, is the expression (radicand ) of the quadratic equation:

$x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}$ .

The value of the discriminant determines the nature and the number of solutions given by the quadratic equation.

A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.

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