What is the discriminant in a quadratic equation?
Discriminant

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Mathematics
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9th - 11th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c, given by the formula b² - 4ac.
2.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate about the solutions of a quadratic equation?
Back
A positive discriminant indicates that the quadratic equation has two distinct real solutions.
3.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate about the solutions of a quadratic equation?
Back
A negative discriminant indicates that the quadratic equation has two complex (imaginary) solutions.
4.
FLASHCARD QUESTION
Front
What does a discriminant of zero indicate about the solutions of a quadratic equation?
Back
A discriminant of zero indicates that the quadratic equation has exactly one real solution (a repeated root).
5.
FLASHCARD QUESTION
Front
Calculate the discriminant for the quadratic equation: 2x² + 3x + 1 = 0.
Back
The discriminant is calculated as b² - 4ac = 3² - 4(2)(1) = 9 - 8 = 1 (positive, so two real solutions).
6.
FLASHCARD QUESTION
Front
For the quadratic equation y = x² + 4x + 4, what is the discriminant?
Back
The discriminant is b² - 4ac = 4² - 4(1)(4) = 16 - 16 = 0 (indicating one real solution).
7.
FLASHCARD QUESTION
Front
If the discriminant is 25, what type of solutions does the quadratic equation have?
Back
The discriminant of 25 indicates that the quadratic equation has two rational solutions.
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