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If the discriminant is greater than 0, then the conic ______.

User Sourygna
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Final answer:

If the discriminant is greater than 0, then the conic section is an ellipse.

Step-by-step explanation:

If the discriminant is greater than 0, then the conic section is an ellipse.

The discriminant is a value used to determine the type of conic section that is formed by the equation. For a quadratic equation that represents a conic section, the discriminant is calculated as b^2 - 4ac.

If the discriminant is greater than 0, it means that the quadratic equation has two distinct real roots, resulting in an ellipse.

For example, if we have the equation x^2/25 + y^2/16 = 1, the discriminant is (0^2) - 4(25)(16) = 400, which is greater than 0.

Therefore, the conic section represented by this equation is an ellipse.

User Maurizio Lo Bosco
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