Quadratic Formula and Discriminant

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What is the Quadratic Formula?

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What does the discriminant of a quadratic equation indicate?

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If the discriminant is 25, how many solutions does the quadratic equation have?

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The quadratic equation has 2 solutions because the discriminant is positive (D > 0).

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What is the significance of a discriminant equal to 0?

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A discriminant equal to 0 indicates that the quadratic equation has exactly 1 real solution, also known as a repeated or double root.

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What is the value of the discriminant if the quadratic equation has no real solutions?

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The value of the discriminant is less than 0 (D < 0).

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