5.1/5.2 FLASHCARD

Front

What is the sum of ( 5 - 2i ) + ( -7 + 8i )?

Back

-2 + 6i

Front

Multiply: ( 4 – 3i ) ( 7 + 2i )

Back

34 - 13i

Front

Multiply: ( 2i ) ( 3i )

Back

-6

Front

Complete the Square: x^2 + 6x = 5

Back

(x + 3)^2 = 14

Front

What does i^2 equal?

Back

-1

Front

Define complex numbers.

Back

Numbers that have a real part and an imaginary part, expressed as a + bi.

Front

What is the imaginary unit i?

Back

i is defined as the square root of -1.

Front

What is the formula for completing the square?

Back

To complete the square for ax^2 + bx + c, rewrite it as a(x + b/2a)^2 - (b^2 - 4ac)/4a.

Front

What is the product of two complex conjugates?

Back

(a + bi)(a - bi) = a^2 + b^2.

Front

What is the result of multiplying a complex number by its conjugate?

Back

The result is a real number.