Algebra 2 Hon Quadratic Equation and Complex Numbers

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve the equation x² + 6x + 9 = 0 using factoring or the Quadratic Formula.

Back

x = -3.

Front

In a complex number expressed as a + bi, what does 'a' represent?

Back

The real part of the complex number.

Front

Simplify the expression: 5i - 10i.

Back

-5i.

Front

What is the sum of the complex numbers (2 - 4i) and (5 + 7i)?

Back

7 + 3i.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the Quadratic Formula used for?

Back

To find the solutions of a quadratic equation.

Front

What are the solutions of the quadratic equation x² - 4 = 0?

Back

x = 2 and x = -2.

Front

Define a complex number.

Back

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.