Video Lesson Lesson from Video Radical Equations, Equations Quadratic in Form, and Factorable Equations Introduction This lesson covers three important types of equations: radical equations, equations quadratic in form, and factorable equations. We will learn how to solve each type step by step, providing examples and practice problems for deeper […]
College Algebra
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Video Lesson Lesson from Video Write Each Expression in Standard Form and Prove in Complex Numbers Introduction In this lesson, we will explore how to express complex numbers in the standard form , where is the real part and is the imaginary part. We will also prove the product of […]
Video Lesson Lesson from Video Character of Solutions Determining the Character of Solutions of a Quadratic Equation To determine the character of the solutions of a quadratic equation without solving, we use the discriminant of the quadratic equation: The general form of a quadratic equation is: The discriminant is given […]
Video Lesson Lesson from Video Solve Quadratic Equations in the Complex Number System Solve Quadratic Equations in the Complex Number System Quadratic equations with a negative discriminant do not have real solutions but can be solved using complex numbers. Complex solutions are expressed in the form: […]
Video Lesson Lesson from Video Add, Subtract, Multiply, and Divide Complex Numbers Add, Subtract, Multiply, and Divide Complex Numbers Complex numbers are expressed in the form: where is the real part, is the imaginary part, and is the imaginary unit, defined by […]
Video Lesson on Complex Numbers and Quadratic Equations Written Lesson on Complex Numbers and Quadratic Equations [3] Complex Numbers and Quadratic Equations Solve each equation in the complex number system. When you see a quartic polynomial written , you can solve it as follows. Let . Then, Solve using the […]
Video Lesson Lesson from Video Solve Problems That Can Be Modeled by Quadratic Equations Solve Problems That Can Be Modeled by Quadratic Equations Quadratic equations are powerful tools for solving real-world problems. They model scenarios involving projectile motion, area optimization, finance, and more. Steps to Solve Problems Modeled by Quadratic […]
Video Lesson Lesson from Video Solve a Quadratic Equation Using the Quadratic Formula Solve a Quadratic Equation Using the Quadratic Formula The quadratic formula is a universal method for solving quadratic equations of the form: The formula is given by: Steps to Solve Using the Quadratic […]
Video Lesson Lesson from Video Solve a Quadratic Equation by Completing the Square Solve a Quadratic Equation by Completing the Square Completing the square is a method used to solve quadratic equations by transforming the quadratic expression into a perfect square trinomial. Steps to Solve by Completing the Square Write […]
Video Lesson Lesson from Video Solve a Quadratic Equation Using the Square Root Method Solve a Quadratic Equation Using the Square Root Method The square root method is a straightforward way to solve a quadratic equation when the equation can be written in the form: Steps to Solve […]