Algebra

Quadratic Equations Quadratic Equations A quadratic equation is written in the following form: These equations contain polynomials of the second degree, with the square being the highest exponent. It is important that we find the values […]

Project bonus 2: Quadratics with parameters Given the following equation: 1. What values of make this equation, an equation with 2 roots? 2. Find the values of so that the equation has only one root […]

FACTORING: Factoring is another step we must refresh to be able to simplify and solve equations. Simply put, if we cannot factor, chances are that we cannot simplify. For a giving number, we have to […]

Find the solution of: Solution: Let’s square the two sides:We get: Adding similar terms we get: Multiplying both sides by Let’s square both sides another time: Divide by 2: Let’s factor:The equality is true if […]

Introduction to Conic Sections Conic sections can be generated when one slanted line revolves around an intersecting a vertical line . We get two cones joined at the intersection and expading indefinitely upward and downward. […]

Sequences and series This is a quick summary of sequences and series for a refresh purpose only. We will explore various situations so we can get up and running in problems involving series. When we […]

Solutions of the cubic Function We have already discussed most of it in our polynomials discussion. The following discussion takes care of all possible values of the solution when we are facing a problem involving […]

Selected Solutions The following is a sample of many of the exercises we plan to solve, to show how some of the seemingly difficult problems can be easily solved. Problem 1: Solve for