Chapter 3 Review A2D

Front

What are the solutions of the graph represented by the equation?

Back

-2 and 3

Front

Use square roots to solve this equation: x² = -18

Back

±3i√2

Front

Solve for x: 3x² - 6 = -9

Back

±i

Front

Solve for x: x² - 3x + 10 = 0

Back

x = (3±i√31)/2

Front

What does i² equal?

Back

-1

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.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the expression b² - 4ac, which determines the nature of the roots of the quadratic equation.

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has two complex (imaginary) solutions.