Curated Video
Imaginary Numbers
Why did mathematicians invent imaginary numbers, and why have they become so important today? Maths - Number A Twig Math Film. Reinforce and extend the learning required by the curriculum. Twig’s math films show abstract concepts in...
Curated Video
Complex Numbers
“Complex Numbers” will explain what a complex number is and how to apply operations to complex numbers.
Curated Video
Solving Quadratic Equations with No Real Solutions Using Completing the Square
In this video, the teacher explains how to solve a quadratic equation with no real solutions using the method of completing the square. They also review complex numbers and common mistakes to avoid when dealing with leading coefficients....
Curated Video
Using the Quadratic Formula to Solve Quadratic Equations with No Real Solutions
In this video, the teacher explains how to solve a quadratic equation that has no real solutions using the quadratic formula. The video also covers a review of imaginary and complex numbers, as well as a common mistake to avoid when...
Curated Video
Introduction to the Complex Number System
In this lesson, we explored the complex number system, which extends the real number system. We learned that complex numbers consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the...
Brian McLogan
How does the discriminant relate to the quadratic formula
👉 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
👉 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
Finding Complex Solutions of Quadratic Equations
This video explains how to find complex solutions of quadratic equations using the method of completing the square. It provides step-by-step instructions on isolating variables, finding perfect square trinomials, and using the square...
Brian McLogan
Algebra 2 - Why do we rationalize the denominator with complex numbers, (6 + 8i)/9i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Algebra 2 - Learn how to simplify complex numbers by dividing (-1+8i) / i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Algebra 2 - How do you solve for values by using equality of complex numbers, 3x-5+(y-3)i =7+6i
In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers. 3x - 5 +...
Brian McLogan
SAT ACT Prep How to determine the 46 digit of a fraction
SAT ACT Prep How to determine the 46 digit of a fraction
Brian McLogan
Algebra 2 - Learn how to simplify the quotient of imaginary numbers, -8/3i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Algebra 2 - Learn how to add two complex numbers by combining like terms, (3 + i) + 2i
In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 + i) + 2i
Brian McLogan
Find the domain from division of two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Algebra 2 - Dividing complex numbers by multiplying by i, (8-6i) / 3i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Algebra 2 - Simplifying the division of a real number by the imaginary unit i, -17/i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Tutorial - How do we divide complex numbers, 8/i
In this video series I will show you how divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if we have an imaginary number on the...
Brian McLogan
Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Algebra 2 - Learn how to simplify dividing by an imaginary number 2/8i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Curated Video
Simplifying Square Roots of Negative Numbers with Imaginary Unit i
In this video lesson, students will learn how to write the square root of a negative number using the imaginary unit i. The lesson explains the difference between real and imaginary numbers and demonstrates how to simplify square roots...
Virtually Passed
Harmonic Force Excitation Steady State Amplitude and Phase Proof
Proof of the steady state amplitude and phase for a spring mass damper system with an harmonic load acting on it. Once you get good at it, you don't need to recreate another z equation like I've done. You can just solve as if sin(wt) =...
Brian McLogan
Algebra 2 - Learn how to simplify the quotient of imaginary numbers, 2/3i
In this video playlist you will learn everything you need to know with complex and imaginary numbers 2/3i
Brian McLogan
Algebra 2 - Learn how to rewrite a complex number by division, -7/2i
In this video playlist you will learn everything you need to know with complex and imaginary numbers -7/2i