Review of Complex Numbers

Front

Solve x² - 5x + 10 = 0

Back

(5 - i√15)/2, (5 + i√15)/2

Front

What does i² = ?

Back

-1

Front

Solve for x: x² - 5x + 8 = 0

Back

x = (5±i√7)/2

Front

Solve -2x² + 4x = 9

Back

(2 - i√14)/2, (2 + i√14)/2

Front

Which is a solution to 3x² + 2 = 0?

Back

(⅔)i

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit i?

Back

i is defined as the square root of -1.

Front

What is the modulus of a complex number z = a + bi?

Back

The modulus is |z| = √(a² + b²).

Front

What is the conjugate of a complex number z = a + bi?

Back

The conjugate is z̅ = a - bi.

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately: (a + bi) + (c + di) = (a + c) + (b + d)i.