Quadratic Formula
Find the roots of the quadratic equation
Solving by Factoring
Solve the quadratic equation by factoring.
Solve by Completing the Square
Solve the quadratic equation by completing the square.
Finding the Perfect Square Trinomial
Find the perfect square trinomial for the quadratic equation , and determine the value of .
Finding the Quadratic Equation Given the Solution Set
Find the quadratic equation whose solutions are and .
Finding a,b, and c in the Standard Form
NASA launches a rocket at seconds. Its height, in meters above sea-level, as a function of time is given by .
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at meters above sea-level.
Finding the Discriminant
Consider the quadratic equation . Find the discriminant of the quadratic equation.
Finding the Quadratic Constant of Variation
Given the quadratic equation where is the constant of variation. The two roots of the equation are 1 and 4. Find the value of .