Roots of Quadratic Equations
This lesson covers how to find the sum and product of the roots of a quadratic equation. It also explains how to form a quadratic equation given the roots and states the conditions for equal roots, real roots, and no roots. Additionally, it discusses the relationship between a line and a curve in te
- 00:50 “of a quadratic equation. At the same time, it should be able to also form a quadratic equation if I'm giving the roots. Having said that, we like to have some introduction. If I have alpha as one of the roots, and the se...”
- 00:02 “Hi, everyone. My name is Fawahimi EC, and I'm your Math Teacher for this session. The topic we're gonna have this time around is finding the roots of a quadratic equation, and also forming a quadratic equation given the...”
- 09:00 “It's very simple when you have a question to apply it with, so that you can only stand very well. We're gonna try some of this example to actually drive it home and know that you can always form a quadratic equation if y...”
Quadratic Equation and Roots
This lesson covers the formation of quadratic equations from given roots. It explains how to find the sum and product of the roots and demonstrates solving for unknown coefficients in a quadratic equation. Examples are provided to illustrate these concepts.
- 00:00 “Hello everyone, my name is Farahini E.C and I am your Mathematist teacher for today. The topic before us is Choretic Equation and we have the objectives here. In this case, you need to be able to identify the sum and pro...”
- 23:29 “48 over 6 and for you know you can get that to be 8 and if alpha cube is going to 8 so therefore your alpha is actually 2 because 2 is the cube of 8 so I mean the cube root of 8 is 2 or 2 is the cube of 8 so if alpha is...”
- 00:46 “Having said that, we have examples we would like to treat here. Look at the question one here. If you have one of the roots alpha to be -1/2, excuse me, one of the roots is alpha and is -1/2. This question is saying that...”
Subtraction in Binary Numbers
This lesson covers the subtraction of two 3-digit binary numbers. It explains the four basic rules of binary subtraction, including borrowing when necessary. Students will practice solving binary subtraction problems using these rules.
- 01:39 “Numbers between the range of zero and one are called the binary numbers. Now, these are numbers that consist of zero and the two digits, zero and one. Now, for the subtraction of binary numbers, to be effective enough, y...”
- 07:16 “But when it comes here it becomes plus two. Now I've been not a plus two. So yeah it's already out to be zero. So what do I have? So I have two minus one. I have it as one. What is left here is zero. So zero minus zero g...”
- 00:45 “And don't know now we'll be doing the subtraction of this operation. That the question is, I don't know the class, what are we expecting? Now at the end of the class, we'll be expecting to solve subtraction of two three...”
Chemical Symbols and Formulae
The lesson covers the symbols of the first 20 elements and how to write chemical formulae and equations. It explains the differences between elements, compounds, and mixtures, as well as the concept of radicals and valency. The laws of conservation of mass and constant composition are also discussed
- 07:31 “with a radical, I put brackets. So the formula is C-A-O-H2 for potassium. Hydrozyde. I believe you understand that example. The next is, how do I name? How do I name compounds? How do I name formulas? When they stand tha...”
- 01:34 “the symbols of the different elements that combine chemical to form the compound, E, G, calcium carbonate, or calcium triadal carbonate for. Whereby, it contains carbon and it contains calcium, one atom of calcium carbon...”
- 06:42 “cis, which is 2. Then you write tetra-osophage cis. And the number before on top of potassium, which is 1. Because it's 1, I don't need to put it there. The third one, potassium is 2 plus, potassium 2 plus. Hydrozyde is...”
Whole Numbers and Prime Factorization
This lesson covers the expression of whole numbers and decimal numbers in standard form. It includes finding prime factors of numbers up to 200, determining the least common multiple (LCM), and finding the highest common factor (HCF). Additionally, it addresses perfect squares and square roots using
- 22:20 “moved for the next, remember we started from square to perfect square then to square root, the three are they are together, so moving up I have square root, so if I have the square root of 49, it means that what I'm simp...”
- 21:33 “that's 49, eight rest of part two, that's 64, nine rest of part two, that's 81, and 10 rest of part two, that's 100, so if you now have 11 rest of part two that's 121, two, and 12 rest of part two, that'll be 144, so it...”
- 15:38 “or you just pick all the values you have here, so when you pick all the values you have here, you are expected to have the HCF which is going to be in this value, just take a look at it, that will still give us, one, two...”