Polynomials Question 4 || 9&10 Math Capsule || Misbah Sir || Infinity Learn Class 9&10

TL;DR

Assumptions are made to find the value of a square plus b square plus c square plus d square plus e square, resulting in a final answer of 10.

Transcript

so over here we have got a question in which we have to find the value of a square plus b square plus C square plus d square plus e Square can I assume all of them to be equal to K so from here I can say that a plus 1 is K if you solve this equation you'll get 4k is equal to 12 or you will get K is equal to 3. now you have to find the value of a sq... Read More

Key Insights

• 😊 The relationship between a, b, c, d, and e can be used to simplify the problem.
• 🟰 By assuming all variables are equal, the equations can be reduced and efficiently solved.
• 😊 Substituting the value of K into the equations yields the values of a, b, c, d, and e.

Questions & Answers

Q: How can the value of a square plus b square plus c square plus d square plus e square be found?

By assuming all variables are equal to K, the equation a + b + c + d + e + 3 = K can be derived. Rearranging the equations, the values of a, b, c, d, and e in terms of K can be found, leading to the solution.

Q: What is the value of K?

Solving the equation 5K - 12 = K results in K = 3.

Q: How can the values of a, b, c, d, and e be determined?

By substituting K = 3 into the equations, the values of a = 2, b = 1, c = 0, d = -1, and e = -3 can be obtained.

Q: What is the value of a square plus b square plus c square plus d square plus e square?

Evaluating the expression (2^2) + (1^2) + (0^2) + (-1^2) + (-3^2), the result is 10.

Summary & Key Takeaways

• The question is to find the value of a square plus b square plus C square plus d square plus e square.

• The variables a, b, c, d, and e have a relationship of a + 1 = b + 2 = c + 3 = d + 4 = e + 5 = K.

• By assuming all variables are equal to K, it is possible to solve the equations and find the value of a square plus b square plus c square plus d square plus e square.