Brian McLogan
How to solve a quadratic using the quadratic formula
π 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...
Brian McLogan
Solve a quadratic by applying 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
How do we determine the relationships of a 45 45 90 triangle
π Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Curated Video
Determining Real or Imaginary Solutions of Quadratic Equations
In this video lesson, you will learn how to determine whether the solutions of a quadratic equation are real or imaginary by calculating the value of the equation's discriminant. The discriminant, which is found under the square root...
Curated Video
Identifying Real and Complex Roots of Quadratic Equations
In this video, the teacher explains how to identify whether a quadratic equation has real or complex roots without actually solving it. The concept of the discriminant is introduced and its role in determining the number and type of...
Brian McLogan
How to different transformations affect our graph? square root function
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
How to evaluate the difference of two angles for tangent, tan
π Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Finding the solutions to a trigonometric equation
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
How to find the unit vector given a vector as a linear combination
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
How to use u substitution to find the indifinite integral
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
How to add and subtract three radicals, square root
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Learn how to solve using the quadratic formula
π 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...
Brian McLogan
Solving a quadratic by applying the quadratic formula
π 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...
Flipping Physics
Balloon Excess Charges Experiment
Two 0.0018 kg balloons each have approximately equal magnitude excess charges and hang as shown. If ΞΈ = 21Β° and L = 0.39 m, what is the average number of excess charges on each balloon?
Catalyst University
Quantum Harmonic Oscillator: Theory and Example Problem #1
Quantum Harmonic Oscillator: Theory and Example Problem #1
Brian McLogan
What you need to know | Functions
In this video I walk through some of the basic problems that you will want to know and remember BEFORE entering pre-calculus. "Most" pre-calculus classes start with a chapter or section on functions and while this video does not cover...
Brian McLogan
Finding the zeros by factoring using the difference of two cubes
π Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Brian McLogan
Learn how to expand a logarithmic expression and use parenthesis and brackets
π Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Learn how to determine the domain of a radical function
π Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How to write the transformations given a square root function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Virtually Passed
Underdamped motion formula proof (2/2)
A spring mass damper equation when the damping ratio less than 1
Brian McLogan
Determine points on a unit circle using special triangles
π Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
What does the discriminat tell us about our zeros of a equation
π Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...