P.6. Complex Numbers Review

Front

What is the value of i^79?

Back

-i

Front

Add the complex numbers: (-1 + 6i) + (3 - 4i).

Back

2 + 2i

Front

Simplify: \frac{2-i}{5i}.

Back

\frac{-2i-1}{5}

Front

Solve by the Quadratic Formula: 9u^2 - 11u + 7 = 0.

Back

\frac{11 \pm i\sqrt{131}}{18}

Front

Solve the quadratic equation: x^2 + 4x + 20 = 0.

Back

-2 + 4i, -2 - 4i

Front

What is the definition of 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

The imaginary unit i is defined as the square root of -1, i.e., i^2 = -1.

Front

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

Back

The conjugate of a complex number a + bi is a - bi.

Front

How do you add complex numbers?

Back

To add complex numbers, add their real parts and their imaginary parts separately.

Front

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

Back

The modulus of a complex number a + bi is given by \sqrt{a^2 + b^2}.