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Curated Video
Solving Quadratic Equations by Completing the Square with Non-Unit Leading Coefficient
In this video lesson, students will learn how to solve quadratic equations by completing the square when the coefficient of the squared term is not 1. The teacher explains the concept of perfect square trinomials and how to identify and...
Curated Video
Generating Perfect Squares: Visual Exploration and Definition
In this video, students learn about perfect squares and how to generate them. They explore the concept of a square and its area, understanding that perfect squares have integer side lengths. The video also addresses common misconceptions...
Curated Video
Solving Equations Involving Squares and Square Roots
In this lesson, students learn how to solve equations involving squares and square roots by using properties they already know. They discover that when solving one-step equations where the variable is squared, there will be two solutions...
Curated Video
Completing the Square: Transforming Quadratic Equations
In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.
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Types of Problems Based on Probability
In this video, we will learn about different types of probability problems and how to solve them. The teacher will explain concepts such as favorable outcomes, total possible outcomes, and how to calculate probabilities using formulas....
Curated Video
Completing the Square: Using an Area Model to Rewrite Quadratic Expressions
Learn how to rewrite a quadratic expression so that all of the variable terms are contained in a perfect square. We explore this process using area blocks and show how to complete the square in an expression. We also emphasizes the...
Curated Video
Completing the Square: Algebraic Method for a > 1
In this video, the teacher explains how to complete the square when the coefficient of the quadratic term is greater than one. They demonstrate the process using algebraic steps and provide examples for better understanding.
Curated Video
Completing the Square with a > 1: Using Models and Symbols
Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...
Curated Video
Rewriting Quadratics in Standard Form to Reveal the Vertex
In this video, you will learn how to rewrite quadratic functions in standard form to reveal the vertex. By completing the square, you can manipulate the function into vertex form, which allows for easy identification of the vertex.
Curated Video
Completing the Square Using Algebra
In this video, you will learn how to complete the square using algebra. We go through the steps to determine the values of A, B, and C in a quadratic expression and how to use them to complete the square. Through these examples, you will...
Curated Video
Polynomial Identity and Combined Area of Consecutive Squares
In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...
Brian McLogan
What is the formula for a perfect square trinomial and how does the discriminant fit in
👉 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
How do we solve quadratic equations
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
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Probability: Finding the Probability of Drawing Cards with Specific Numbers
In this video, the teacher explains how to solve a probability problem involving drawing a card from a box containing cards numbered 5 to 50. The problem requires finding the probability of drawing a card with a prime number less than 10...
Brian McLogan
Graphing a quadratic by converting to vertex form
👉 Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Brian McLogan
Free Online Tutoring solving quadratics
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
In General form find the foci, vertices and center of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...
Why U
Algebra 76 - Completing the Square - part 2
In the previous lecture we showed how any quadratic equation can be solved by "completing the square". We also showed geometrically that any general form quadratic expression "x-squared + bx + c" where c has a value of "(b/2) squared"...
Brian McLogan
How do you solve a quadratic using various methods
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Tips for solving by factoring when a difference of two squares
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Using the quadratic formula to solve an equation
👉 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
Simplifying Expressions with Square Roots
In this video, the teacher explains how to simplify expressions involving square roots. They demonstrate how to identify perfect square factors and split the square root into smaller terms to simplify it. The teacher also explains the...
Brian McLogan
Summary for solving a quadratic by factoring using various methods
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Learn to solve a quadratic by the AC method of factoring
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...