Complex Numbers, solving quadratic equations & comp the SQ

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•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the solutions to the equation (x + 2)(x - 3) = 0?
Back
The solutions are x = -2 and x = 3.
2.
FLASHCARD QUESTION
Front
How do you solve the quadratic equation 4x^2 - 9 = 0?
Back
The solutions are x = 3/2 and x = -3/2.
3.
FLASHCARD QUESTION
Front
What is the formula to calculate the new C-term in completing the square?
Back
C = (b/2)^2.
4.
FLASHCARD QUESTION
Front
What is the value of i in complex numbers?
Back
i = √(-1).
5.
FLASHCARD QUESTION
Front
What is the value of i^2?
Back
i^2 = -1.
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form is ax^2 + bx + c = 0.
7.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (b^2 - 4ac) indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, two complex roots.
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