MATHSMANIA

  The cube roots of unity are the three complex numbers that satisfy the equation z^3 = 1, where z is a complex number. These solutions can be found by using the formula: z = e^(2πik/3) where k = 0, 1, or 2. Therefore, the three cube roots of unity are: ω1 = e^(2πi/3) = (-1 + sqrt(3)i)/2 ω2 = e^(4πi/3) = (-1 - sqrt(3)i)/2 ω3 = e^(2πi) = 1 Note that ω1 and ω2 are complex conjugates of each other, and they are also called primitive cube roots of unity. The cube roots of unity are the complex solutions to the equation z^3 = 1. These solutions are given by: 1, (-1 + sqrt(3)i)/2, and (-1 - sqrt(3)i)/2 where i is the imaginary unit, which is defined as the square root of -1. So these three values are the cube roots of unity. 1+w+w2 =0 thanks for watching.

    CONSTANT , ARBITRARY CONSTANT AND VARIABLE In mathematics, a constant is a value that does not change and remains the same throughout the problem or equation. For example, in the equation y = 2x + 5, 2 and 5 are constants because they do not depend on the value of x. An arbitrary constant is a constant that appears in a solution to a differential equation or an indefinite integral, where its value is not determined by the given initial conditions or limits of integration. The arbitrary constant represents all possible solutions to the equation. For example, the indefinite integral of f(x)dx is F(x) + C, where C is an arbitrary constant. A variable , on the other hand, is a symbol or quantity that can take on different values in a given problem or equation. It is usually represented by a letter, such as x, y, or z. In algebra, variables are often used to represent unknown values in equations or formulas. In summary, a constant is a fixed value that does not change, an arbitrary c

 yes we heard many times that 2 +2 is not equal to 5 but but but right now we will prove that really 2 plus 2 is equal to 5 ..  you want to know how?  okay lets start with the simple equation that  0=0  now we can write it as :- 20-20=25-25 now see:- 5*4-5*4=5*5-5*5 now for the next step to prove that two plus two equals five click here :----------- click here now after seeing this proof you will think that how is it possible to write 2+2=5 ? then you are right we cant write this and we actually cant prove that two plus two equals five  and the way we proved it has some mathematical error and all you need to do is to look back the video and find the error and comment down the step in which we had done wrong . thanks for reading and watching this mathematical blog . if you are new here dont forget to subscribe to the blog so that you will get notified for our next awesome blogs. stay tuned and take care.

HOW TO STUDY MATHS Studying math effectively requires a combination of understanding concepts, practicing problems, and developing problem-solving skills. Here are some general tips on how to study math: Review class notes and textbook: Start by reviewing your class notes and the relevant sections of your math textbook to understand the concepts being taught. Take notes, highlight key points, and make sure you understand the definitions, formulas, and procedures. Practice regularly: Math is a skill that improves with practice. Solve a variety of math problems, including those provided in your textbook, practice worksheets, and online resources. Start with basic problems and gradually progress to more complex ones. Repetition helps reinforce your understanding of the concepts and builds your problem-solving skills. Understand the underlying concepts: Don't just memorize formulas and procedures. Strive to understand the underlying concepts and principles. Ask yourself "why&qu

WHAT IS THE DIFFERENCE BETWEEN implies and equal to  IN MATHS? Implies: In logic and mathematics, "implies" is a logical relation denoted by the symbol "→" (arrow) or expressed in words as "if...then." It indicates that the truth of one statement, called the antecedent, guarantees the truth of another statement, called the consequent. For example, the statement "If it rains, then the ground is wet" implies that whenever it rains, the ground will be wet. However, the truth of the antecedent does not guarantee the truth of the consequent in everyday language, but only in the context of formal logic. Equal to: "Equal to" is a comparison term used to denote that two values or expressions have the same value, quantity, or magnitude. It is represented by the "=" symbol in mathematics and programming. For example, "4 + 3 =7" states that the sum of 4 and 3 is equal to 7. here is the video that will help you :---  difference