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
- 06:35 “If I want to, maybe I should just bring you into this. Look at, if I have this to be a quadratic equation, as I just put on the board for you. And I have said this is also a quadratic equation. X squared minus alpha plus...”
- 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...”
- 10:37 “So that we don't run into some problems. We wanna have X equals five and X equals minus four. All right, we can also, we can also have it before anyway, but this is what we have. If I have that, in this, in the same vein...”
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...”
- 16:52 “out of it for me if I fix it this one in here look at what I'm going to have or shout instead of writing this alpha squared plus beta squared I'm going to write all these and they fix the product on it so with that is it...”
- 26:02 “minus 28 x plus 12 is equal to 0 and also number two if you are given an equation to x squared plus x minus 12 is equal to 0 you need to find the value of 1 over alpha plus 1 over everything squared thank you for watchin...”
Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 16:34 “the perfect square. So with that, I will give you a exercise to do the expansion. That's opening of bracket for the second and for the third. So I've been able to open the bracket, this means they are 2. So a minus b, a...”
- 13:16 “Then I have plus 2 into 14 is 7 and I have x squared, taking out x to the power 4, will be left with 1, 2x. Oh, beautiful. Now, this has given us a better idea on the factorization process. Which gives you wider view to...”
- 17:20 “Someone would say, how do we make that possible? Now, the first thing is, let's pick the question. We have the question is x square plus 8x plus 16. Take note of this and take note of this, very, very important. When you...”
Solving Simultaneous Linear Equations
This lesson covers how to solve simultaneous linear equations using substitution and elimination methods. It also explains how to identify linear equations and includes examples for practice.
- 00:00 “Hi everyone, I am Atolagbe Michael, your mathematics teacher. The topic today is simultaneous linear equation. At the end of today's lesson, you should be able to do the following. One, recall and identify simultaneous l...”
- 04:16 “In equation 1, I have Q plus 2R equals to 8. So, I'm writing that. Don't forget that Q plus 2R. Q plus 2R equals to 8 equals to 1. From equation 1, make you the subject of the equation. Q equals to 8 minus 2R. You can ca...”
- 10:45 “You take this to the other side. And I will become 23 minus 3y. Not that I have this. I can substitute now. Going back to this equation that I have here. Equation 3. I have 4y minus x equals to 12. And I have x equals to...”
Exponential Equations
This lesson covers the definition and properties of exponential equations. It explains how to solve exponential equations of linear form by ensuring the bases are the same. Examples are provided to illustrate the process of finding the unknown variable in these equations.
- 08:56 “of linear of quadratic form. And that of x or x is number two is for exponential equation of a linear form. So therefore we can use this the method that we use in our previous examples to solve this as a size. So thanks...”
- 06:18 “two raised to power x or raised to power two. We use what we call the power law yeah. So minus six raised to power two raised to power x plus eight equals zero. So let's why equals two raised to power x. So it means wher...”
- 00:00 “Good day, My name is Afeez. I'm going to take you further math and our today's topic is going to be a continuation of indices, which is called Exponential Equations. At the end of this topic, we should be able to know ho...”
Simplification of Algebraic Expressions
This lesson covers the definition of algebraic expressions and their components, including terms and coefficients. It explains how to identify like terms, perform arithmetic operations on similar terms, and simplify expressions by inserting or removing brackets.
- 03:55 “Plus 2 is another term. A term can be a single number, positive or negative, or a variable, one or more numbers and variables that have been multiplied together, terms by terms, and are separated by addition or subtracti...”
- 08:47 “Now, to say further on that, I'm going to talk about coefficients. Coefficient is the number or factor that has been multiplied by the variable. In this expression, minus four x, the coefficient is minus four. In this ex...”
- 07:10 “Two multiplied by c. That is what it means. So the following expressions using a simple annotation. Y plus y plus y plus y. Instead of writing all of that, you just have five y. The same thing with 8 times b gives you 8...”
Translating Word Problems into Equations
The lesson teaches how to translate word sentences into mathematical equations. It covers the use of variables to represent numbers and how to express word problems as algebraic expressions. Students will learn to solve simple equations and check their answers.
- 11:09 “So we say Q. And rice adds double the price of maize. That is two times Q. If she sold 50 cups of maize and 45 cups of rice, what was her income? So 50 cups of Q, that is 50 of Q, 50 Q plus-- this is 2Q plus 2Q times 45....”
- 16:13 “cost 20 more. So noodles is X plus 20. What are the cost of 4 such as of milk and 8 such as of noodles? So for 4 such as of milk, 4 such as of milk, that's 4, say 4 milk, 4 milk such as X and 4 places, X in 4 places, whi...”
- 03:58 “That is X plus five. Because I haven't mentioned how much I earn. So how much I earn can be represented with X. So if how much my brother earns is X, or X in the era, and I say I earn five NARA more than my brother, that...”
Similar Shapes
This lesson covers the identification of similar shapes such as triangles, rectangles, squares, cubes, and cuboids. It explains the criteria for similarity, including proportional sides and equal angles. The lesson also includes methods for enlarging figures using scale factors and calculating lengt
- 25:22 “these 2, if it cannot be in this form then your answer is wrong, now the last part is applying it to water problem, how do we apply it to water problem, how using your scalar factor to solve a problem, olatical wants to...”