Brian McLogan
Solve by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
How to find the domain of a rational function with a radical in the denominator
👉 Learn how to find the domain of rational functions with a radical denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Find the Distance between two ships | Law of Cosines word problem
Find the Distance between two ships | Law of Cosines word problem
Brian McLogan
Finding the six trigonometric functions from a triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Curated Video
How to Use and Prove the Pythagorean Theorem
This video teaches the Pythagorean theorem, explaining its proof and how to use it to find missing side lengths of a right triangle. The lesson includes key vocabulary and examples with step-by-step instructions, making it easy to...
KnowMo
Rationalizing Denominators: How to Remove Roots from the Bottom of Fractions
This video is a lecture that explains how to rationalize denominators in mathematics. The video provides two methods for rationalizing denominators: multiplying the top and bottom of the fraction by the root (for simple square roots) or...
KnowMo
Using Functions: Understanding the Input-Output Relationship
The video is a lecture presentation on the topic of using functions. The presenter explains what a function is, using the analogy of a function machine, and how an input results in an output that is dependent on the function. The video...
KnowMo
Fractional Indices: Rules and Examples
This video teaches the viewer how to deal with fractional indices, or powers that are fractions. The video explains specific rules for solving problems with these types of powers and demonstrates how to apply these rules to various...
Brian McLogan
Solve an equation with double angle of cosine
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Learn how use the quotient rule to take the derivative including cosine
👉 Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
What are the rules of radicals for multiplying dividing and the sum
👉 Learn the basics of multiplying radicals. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Learning to multiply two radicals together and then simplify
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Learning how to divide the square root of two expressions
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Simplifying the root of a rational number
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Learn How to Simplify the Radical of a Number in Multiple Different Ways
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to simplify a radical expression using the power rule
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
How to simplify the root of a variable expression by using product property of exponents
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
What is factoring by the difference of two squares then solving
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Summary for solving using the 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
Solving using the square method but first factoring out a gcf ex 11, y = 2x^2 - 50
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
👉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
Solving by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Using the sum of two cubes with a fraction
👉 Learn how to factor polynomials using the sum or difference of two cubes. 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. To factor an...