LoginGet started

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

RANKERS GURUKUL・2 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.

Get key ideas from YouTube videos. It’s free

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

Related videos

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

Enhance Math Skills with RG Vikramjeet App

  • To improve math scores and prepare for exams, download the RG Vikramjeet Application and contact the provided inquiry number for assistance. Live batches are available for children, with the Champion 16.2 batch running twice daily, with fees of Rs 999 and a validity of 2 months.
  • Consider joining the complete batch of teachers for Rs 4500, discounted to Rs 22700 for access to multiple courses. Live batches are recommended over recorded ones, such as PO 2.0, for better learning outcomes. Sessions are available on Mondays and Saturdays, with Sundays off.
Channel avatarChannel avatarChannel avatarChannel avatarChannel avatar

Try it yourself — It’s free.