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Solving an Equation with the Least Common Denominator: Another Practice Problem
01:56

Solving an Equation with the Least Common Denominator: Another Practice Problem

A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.

Solving Quadratic Equations by Factoring
02:48

Solving Quadratic Equations by Factoring

A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also utilizes the zero factor property.

Solve: 3x(x - 2) = 14
02:11

Solve: 3x(x - 2) = 14

The equation 3x(x - 2) = 14 is solved using the quadratic formula.

Solving Equations Not Written in Standard Form
01:04

Solving Equations Not Written in Standard Form

Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.

Quadratic Equations in Standard Form
03:01

Quadratic Equations in Standard Form

The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.

Quadratic Equations Can Have Two, One, or No Solutions
01:31

Quadratic Equations Can Have Two, One, or No Solutions

Quadratic equations with one variable can have one solution, two solutions, or no solution at all.

Practical Problem: How Much Land to Buy
05:37

Practical Problem: How Much Land to Buy

A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.

Solving a Quadratic Equation Using the Quadratic Formula
03:46

Solving a Quadratic Equation Using the Quadratic Formula

Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...

Parabola, The
00:34

Parabola, The

Every parabola has an extreme value, which is the highest or lowest point on the curve, and is symmetrical.

Graphic of Quadratic Equations
01:25

Graphic of Quadratic Equations

All quadratic equations with two variables have an infinite number of solutions. When graphed, these ordered pairs lie on a curve called a parabola.