Brian McLogan
What do I need to know to solve a quadratic 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
Solving a one step inequality using division
π Learn how to solve one step inequalities. When solving one step inequalities we will use inverse operations to isolate the variable. To represent our solution we will graph on the number line and use open and closed points based on the...
Curated Video
Proof of the Quadratic Formula through Completing the Square
The video is a tutorial on the proof of the quadratic formula. The speaker explains the formula and then proceeds to demonstrate how it is derived through the process of completing the square.
Brian McLogan
Factoring out a GCF then factoring using various methods
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...
Brian McLogan
Solving and graphing an inequality with variables on both sides
π Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e....
Brian McLogan
Learn how to solve a word problem involving roots
π In this playlist, you will learn how to solve a literal equation. We will work through solving literal equations from formulas as well as equations of a line. When solving literal equations we will be isolating a given variable by...
Brian McLogan
Solving a multi-step equation with fractions and variable on both sides
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of...
Brian McLogan
Solving a literal equation with one rational expression
π Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Solving a literal equation using distributive property
π Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Solving a one step equation with a mixed number
π Learn how to solve a one step equation. An equation is a statement stating that two values are equal. A one step equation is an equation whose solution can be obtained by performing only one step of operation on the equation. To solve...
Brian McLogan
Solving a literal equation with a rational term
π Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Solving an equation by converting to the same base and using equality
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
Use inverse operation to solve exponential equation without one to one property
π Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Solving Exponential equations
π Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Solve an exponential equation using the properties of logs
π Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Solve and graph a quadratic inequality using a graph
Solve and graph a quadratic inequality using a graph
Brian McLogan
Solving a trigonometric equation and determining all the solutions between 0 and 2pi
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
How to evaluate the half angle for the tangent function
π Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
How to solve a trigonometric equation by factoring
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Find all the solutions of a trig equation by looking at the graph and unit circle
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Ambiguous case 1 triangle how to tell
π Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and...
Brian McLogan
Using the power rule with a negative power to simplify an expression
π Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Brian McLogan
Master Solving using the quadratic formula with complex solutions
Master Solving using the quadratic formula with complex solutions
Brian McLogan
Learn how to solve a system of equations by graphing Solution
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...