Brian McLogan
How to evaluate the square root of a perfect square number
π 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
Combining rational expression with unlike denominators
π Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Solving a quadratic with no solution by square root method
πLearn 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 a quadratic equation by the square root method
πLearn 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
Graphing a quadratic function in standard form
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solving by completing the square and factoring out a two
π 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
Find the perimeter of a triangle on a coordinate plane | Geometry
πIn this video I will show you how to find the perimeter of a triangle using the distance formula given three points on a coordinate plane.
Brian McLogan
What is the alternate in sign sequence
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Using binomial expansion to expand a binomial to the sixth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Math Fortress
Differential Equations: Implicit Solutions (Level 2 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...
Brian McLogan
What is standard form of a quadratic equation
π Learn the essentials for graphing a quadratic equation. 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 can either...
Catalyst University
Geometry | The Super-Pythagorean Theorem [Diagonal of a Prism]
In this video, we calculate the length of the diagonal in a rectangular prism using the Super-Pythagorean Theorem [with example].
Brian McLogan
Find the distance between two coordinate points ex 2
π Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
KnowMo
Introduction to Direct Proportion
This video explains the concept of direct proportion and how to solve problems related to it. The lecturer explains the mathematical language associated with direct proportion and provides examples where it can be applied. The video then...
KnowMo
Multiplying Across a Single Bracket: Techniques and Examples
The video is a lecture on how to multiply across a single bracket in algebra. The presenter explains the meaning behind brackets in algebraic expressions and gives an example to demonstrate this. The video then goes on to explain a...
Brian McLogan
Rewriting an equation so that they have same base and you can solve, 16^(2x)=(1/8)^(x+3)
π Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be...
Brian McLogan
Condensing a large logarithmic expression to one single logarithm
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
How to find the focus and directrix when your vertex is at origin
Learn how to graph a vertical parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be vertical if it opens up or opens down. A vertical parabola results from a quadratic equation in which the x...
Brian McLogan
Learn to Graph a Piecewise Function With Three Equations
π Learn how to graph piecewise functions. A piecewise function is a function that has more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Learn how to write the equation of a parabola given vertex and directrix
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Determine if the rational function is even or odd
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Conics given the endpoints of a circle find the equation
Learn how to write the equation of a circle given different pieces of information. When writing the equation of a circle you will be work from the general equation of a circle and plug in our given information such as the radius, center,...
Brian McLogan
Learn how to evaluate the six trig functions given an equation and constraint
π Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...
Brian McLogan
How to use the law of cosines with your calculator (SAS)
How to use the law of cosines with your calculator (SAS)