Quadratic Formula & the Discriminant
Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.
2.
FLASHCARD QUESTION
Front
What does the discriminant indicate in a quadratic equation?
Back
The discriminant (b² - 4ac) indicates the nature of the roots of the quadratic equation: if positive, there are 2 real solutions; if zero, there is 1 real solution; if negative, there are 2 complex (imaginary) solutions.
3.
FLASHCARD QUESTION
Front
If the discriminant is zero, how many real solutions does the quadratic equation have?
Back
1 Real Solution.
4.
FLASHCARD QUESTION
Front
What is the value of the discriminant for the equation 3x² + 6x + 2?
Back
The discriminant is b² - 4ac = 6² - 4(3)(2) = 36 - 24 = 12.
5.
FLASHCARD QUESTION
Front
Can the quadratic formula be used for any quadratic equation?
Back
True, the quadratic formula can be used to solve any quadratic equation, whether it can be factored or not.
6.
FLASHCARD QUESTION
Front
What is the first step in using the quadratic formula?
Back
Identify the coefficients a, b, and c from the quadratic equation in the form ax² + bx + c = 0.
7.
FLASHCARD QUESTION
Front
Solve the quadratic equation x² - 4x + 4 = 0 using the quadratic formula.
Back
x = 2 (double root).
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