College Algebra Flashcard #3

Front

Solve (x+2)²=5

Back

x=-2+√5, x=-2-√5

Front

Solve 6x²-36=0

Back

x=√6, x=-√6

Front

Solve for x: 5x = 4

Back

x=4/5

Front

Find a such that f(x)=ax²-4x+3 has a maximum value of 12.

Back

a=-4/9

Front

Solve |x+5|>2

Back

(-∞,-7)∪(-3,∞)

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0 where a ≠ 0.

Front

Definition: Absolute Value

Back

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

Front

Definition: Maximum Value of a Quadratic Function

Back

The highest point on the graph of a quadratic function, occurs at the vertex if a < 0.

Front

Definition: Roots of an Equation

Back

Values of x that satisfy the equation, where the graph intersects the x-axis.

Front

Definition: Completing the Square

Back

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