N.9 - Quadratic Formula with Complex Solutions

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned
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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.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does it mean if the discriminant (b² - 4ac) is positive?
Back
If the discriminant is positive, the quadratic equation has two distinct real solutions.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What does it mean if the discriminant (b² - 4ac) is zero?
Back
If the discriminant is zero, the quadratic equation has exactly one real solution, also known as a double root.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What does it mean if the discriminant (b² - 4ac) is negative?
Back
If the discriminant is negative, the quadratic equation has two complex (imaginary) solutions.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
How many x-intercepts does a quadratic function have if it has two real solutions?
Back
It has 2 x-intercepts.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
How many x-intercepts does a quadratic function have if it has one real solution?
Back
It has 1 x-intercept.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
How many x-intercepts does a quadratic function have if it has two complex solutions?
Back
It has 0 x-intercepts.
Tags
CCSS.HSF-IF.C.7A
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