Flashcard 3 Chapter 3 - College Algebra

Front

Simplify the expression: (6 + 5i)^2

Back

61 + 60i

Front

Solve by completing the square: 7x^2 + 2x - 5 = 0

Back

-1, 7/5

Front

Solve the equation: √x = 2 - x

Back

±√2

Front

Solve the equation: 11 - |x - 9| = 2

Back

0, 18

Front

Find the axis of symmetry of the function: f(x) = x^2 - 15x + 4

Back

x = 15/2

Front

Definition: Complex Number

Back

A number of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

Definition: Completing the Square

Back

A method used to solve quadratic equations by rewriting them in the form (x - p)^2 = q.

Front

Definition: Absolute Value

Back

The distance of a number from zero on the number line, denoted |x|.

Front

Definition: Axis of Symmetry

Back

A line that divides a figure into two mirror-image halves.

Front

Example of a Quadratic Equation

Back

An equation of the form ax^2 + bx + c = 0, where a ≠ 0.