What is the standard form of a quadratic equation?

The standard form is $$ax^2 + bx + c = 0$$ .

What does the discriminant of a quadratic equation tell us?

The discriminant $$b^2 - 4ac$$ determines the nature of the roots: if >0, two real roots; =0, one real root;

How do you multiply two complex numbers?

Use the distributive property (FOIL) and combine like terms.

What is the formula for the roots of a quadratic equation?

The roots are given by $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

How do you add two complex numbers?

Add the real parts and the imaginary parts separately.

What is the geometric representation of complex numbers?

Complex numbers can be represented as points or vectors in a 2D plane, with the x-axis as the real part and the y-axis as the imaginary part.

Quadratics with Complex Numbers Flashcard Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the complex conjugate of 4-3i?

Back

4 + 3i

2.

FLASHCARD QUESTION

Front

Simplify: (-3+6i)-2(-5-3i)-8i

Back

7 + 4i

3.

FLASHCARD QUESTION

Front

What is the simplified result of (3 + 8i)(-2 - i)?

Back

2 - 19i

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

1

6.

FLASHCARD QUESTION

Front

What is the definition of a complex number?

Back

7.

FLASHCARD QUESTION

Front

Back

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