Brian McLogan
How to apply the quadratic formula to a quadratic with fractions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Visual Learning Systems
Designing Solutions Review
This is a review of the concepts covered in the Designing Solutions series. In this video, we explore the fascinating topic of designing solutions. We discuss the difference between a problem and a solution, and how scientists and...
Brian McLogan
Given three real zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Curated Video
Understanding Inequalities: Exploring Multiple Solutions with a Pan Balance
In this lesson, students learn that inequalities can have more than one solution by using a pan balance. They explore real-world examples, such as average temperatures, and use substitution to determine which numbers satisfy the...
Curated Video
Identifying Extraneous Solutions in Rational Equations
In this video, the teacher explains how to check for extraneous solutions in rational equations. They demonstrate the process step by step, emphasizing the importance of isolating x and avoiding 0 as a denominator.
Science360
Science for a Sustainable Future - Innovators
Princeton University physical chemist Emily Carter is using fundamental scientific principles to create computer simulation tools that will help predict the behavior of different materials including renewable fuels. The research, which...
Math Fortress
Differential Equations: Implicit Solutions (Level 3 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...
Curated Video
Understanding Linear Equations: Infinitely Many Solutions
In this video, the teacher explains that linear equations can have infinitely many solutions by transforming them into a simpler form. The properties of equality are introduced, showing that adding, subtracting, multiplying, and dividing...
APMonitor
Python 🐍 Solve Nonlinear Equations with fsolve
This tutorial is an introduction to solving nonlinear equations with Python. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver such as Scipy optimize fsolve to numerically...
Brian McLogan
Given a list of three zeros find the factors of the polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Solving an equations using the sum and difference formulas of cosine
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
How to Solve a System of Equations Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Curated Video
Solving a System of Quadratic and Linear Equations by Substitution
In this lesson, students will learn how to solve a system of a quadratic and linear equation using substitution. They will understand that a system is a group of equations and its solution makes both equations true simultaneously.
Zach Star
How to Take All the Math Classes You Need Right From Your Computer
This video goes over how you can learn all the math classes you need and self teach them, right from your computer. There are lots of resources out there when it comes to math help, however it can be disorganized making it hard to know...
Curated Video
Finding X Intercepts of Polynomial Functions by Analyzing Factors
This video explains the concept of X intercepts and their relationship to the factors of a polynomial function. They demonstrate how to find the X intercepts graphically and algebraically by setting the function equal to zero and...
Why U
Algebra 45 - Three Variable Systems with Infinite or Null Solution Sets
When solving a system of linear equations with a single solution, we get a unique value for each variable. But how do we recognize when a system of equations has infinitely many solutions or no solutions?
Brian McLogan
Learn to find the zeros of a quadratic using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Institute for New Economic Thinking
Michael Hudson: Debt: The Politics and Economics of Restructuring 2/4
Michael Hudson, Distinguished Research Professor of Economics, University of Missouri, Kansas City at the panel entitled "The Challenge of DeLeveraging and Overhangs of Debt II: The Politics and Economics of Restructuring" at the...
Food Farmer Earth
Navigating the Nexus: Food Systems, Agriculture, and Climate Change
Anna Lappé's discussion sheds light on the crucial link between food, agriculture, and the climate crisis, advocating for a systemic shift towards more sustainable and equitable food production methods. She emphasizes the role of food...
Brian McLogan
Overview of solutions of a quadratic function and the discriminant
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Brian McLogan
Learn how to solve a quadratic equation using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Understanding Equations with Infinite Solutions
In this video, the teacher explains the concept of equations having infinite solutions. They use simple examples and visuals to help students understand how to identify equations with infinite solutions and why they occur.
Curated Video
Approximating the Intersection of Two Lines
In this video, the teacher explains how to determine if a point is a solution to multiple equations and how to approximate the X coordinate of the intersection of two lines by observing their graphs. The teacher emphasizes the importance...