Unit 4B Flashcard Review

Front

Solve the quadratic: n^2 - 5 = -4

Back

n = ±1

Front

Use the quadratic formula to solve x^2 + 9x + 9 = 0

Back

x = \frac{-9 \pm \sqrt{45}}{2}

Front

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length?

Back

Length = 8 units

Front

Complete the square: x^2 + 6x + ____

Back

x^2 + 6x + 9

Front

Solve by the Square Root method: x^2 = 16

Back

x = ±4

Front

What is the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Front

Define 'completing the square'.

Back

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

Front

What does it mean for a quadratic equation to have no real solutions?

Back

The discriminant (b^2 - 4ac) is less than 0.

Front

What is the area of a rectangle?

Back

Area = length × width.

Front

How do you find the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

Vertex = (-b/(2a), f(-b/(2a))).