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🔥Day 03 | Algebra (बीजगणित) Part-03 | Complete Maths By Aditya Ranjan Sir | SSC CGL MTS #ssccgl

RANKERS GURUKUL・94 minutes read

The text discusses the importance of understanding Algebra concepts, especially in relation to power calculations, including specific formulas and problem-solving strategies. It emphasizes the need for clarity and foundational knowledge in mathematics to solve real-world problems accurately and encourages practice and application of concepts for improved learning outcomes.

Insights

  • The marathon on the Rakas Gurukul Channel focuses on Algebra basics, covering fundamental concepts like simplifying expressions and solving questions for SSC and CPO exams.
  • The session delves into power calculations, emphasizing the relationship between x + 1 / x and its powers, including practical applications like determining whether a number is positive or negative based on its power and using the bridge method to switch between positive and negative values effectively.

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Recent questions

  • What is the focus of the 51-day marathon on Rakas Gurukul Channel?

    Algebra basics

  • What is the formula for power three discussed in the session?

    n^2 - 3n

  • How is the process of doubling the power explained in the session?

    Squaring the number and adding or subtracting two based on the sign

  • What is the significance of the bridge method discussed in the session?

    Switching between positive and negative values effectively

  • How can one improve math scores and prepare for exams according to the session?

    Download RG Vikramjeet Application and join live batches

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Summary

00:00

"51-Day Algebra Marathon: Basics to Applications"

  • Today is the 51st day of the 51-day marathon on the Rakas Gurukul Channel, focusing on Algebra basics.
  • The session includes questions on Algebra, such as ACP, SBC, and QPC on the cube.
  • The third class of the marathon covers fundamental Algebra concepts.
  • The class emphasizes simplifying Algebra, focusing on expressions like a k + b k + c k.
  • The session includes solving questions for SSC exams and the answer keys for CPO exams.
  • The schedule outlines the topics covered in the 51-day marathon, with detailed session plans.
  • The class delves into the concept of inverse functions in Algebra, particularly x + 1 / x.
  • The session explains the relationship between x + 1 / x and its powers, emphasizing the subtraction of two from the square when doubling the power.
  • The discussion extends to the power of three, with the formula n k - 3n for power three.
  • The session concludes with a practical question on SSC Phase 12, focusing on applying Algebraic concepts to solve real-world problems.

13:24

"Calculating Perfect Squares and Powers Easily"

  • The value given in place of n is 15
  • Subtracting two from 225 results in 223
  • 223 corresponds to a specific option
  • The correct answer is option number
  • To find a perfect square, add two to the number
  • Adding two to 15 results in 225, a perfect square
  • The formula for power 2 is n - 2
  • For power 3, the formula is n^2 - 3n
  • For power 4, double the previous number and subtract two from its square
  • To calculate power 5, multiply n by 3 and subtract n from the product

25:40

"Mathematical Operations Result in Sequence"

  • Subtract 3 times 21 from 343 and 7 to get 322.
  • Subtract 7 from 322 to get 315.
  • Calculate 2 times 47 to get 94.
  • Multiply 47 by 90 to get 4230.
  • Add 4 to 94 to get 98.
  • Multiply 3 by 47 to get 141.
  • Add 10 to 141 to get 151.
  • Subtract 7 from 151 to get 144.
  • Calculate the cube of 3 to get 27, then subtract 1, 2, and 3 to get 123.
  • Solve the equation x + 1 up x to find the value of power five, which is 123.

37:15

"Understanding Power Equations: Odd vs Even"

  • The power of a given equation is three.
  • The equation involves n, k, and 3n.
  • The cube of 10 is discussed.
  • The value of 3 times 10 is calculated.
  • A question involving x - 1 up x is presented.
  • The importance of odd and even powers in calculations is explained.
  • The significance of plus and minus signs in equations is highlighted.
  • The process of transitioning from minus to plus is discussed.
  • Practical examples are provided to illustrate the concepts.
  • The importance of understanding power calculations is emphasized.

48:45

"Power Doubling: Formula for Positive/Negative Numbers"

  • To determine whether a number is positive or negative based on its power, a specific formula is used.
  • If the value of x - 1 / x is given and it equals 10, the power is doubled.
  • Doubling the power involves squaring the number and then either subtracting or adding two based on the sign.
  • When the sign changes from minus to plus, two is added to the result.
  • For a given value of x - 1 / x as 10, doubling the power results in 102.
  • Multiplying by two and then adding two is the process for doubling the power.
  • The calculation involves squaring the number and then either subtracting or adding two based on the sign.
  • The process of doubling the power is crucial in determining the final result.
  • The bridge method is introduced to switch between positive and negative values effectively.
  • Adding or subtracting four from the square of a number is essential in the bridge method.

01:00:49

"Math Concepts: Understanding for Effective Problem-Solving"

  • The text discusses mathematical concepts and problem-solving strategies.
  • It emphasizes the importance of understanding concepts over memorization.
  • The text mentions the calculation of values using specific formulas.
  • It highlights the significance of bridging to find the value of plus and minus.
  • It explains the process of calculating values using given fractions.
  • The text includes examples of solving mathematical problems step by step.
  • It stresses the need for clarity in mathematical concepts for accurate problem-solving.
  • The text mentions the importance of strong foundational knowledge in mathematics.
  • It discusses the process of finding values by manipulating given equations.
  • The text concludes by encouraging practice and understanding in mathematical problem-solving.

01:12:37

Calculating x + 1 / x in Steps

  • The question involves calculating even powers in a series of steps.
  • The question number is 14, focusing on calculating x + 1 / x.
  • The process involves halving numbers to determine values.
  • The method includes switching and multiplying to find the final value.
  • The answer to the question involves a series of calculations.
  • The process is explained in a step-by-step manner for clarity.
  • The value of x + 1 / x is determined through specific calculations.
  • The method involves halving numbers and subtracting to reach the final answer.
  • The final answer is obtained through a series of mathematical operations.
  • The process emphasizes the importance of understanding and applying mathematical concepts accurately.

01:24:03

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