Solving Complex Fractions: Equivalent Polynomial/Rational Expressions (Grade 12)

  • Thread starter Thread starter Mach
  • Start date Start date
  • Tags Tags
    Algebra Grade 12
AI Thread Summary
The discussion focuses on solving a complex fraction problem involving the expression 1 + (a + a^-1)^-1. The correct simplified form of the expression is identified as (a^2 + a + 1)/(a^2 + 1). Participants emphasize the importance of finding a common denominator when adding fractions to achieve the desired result. Clarification is provided regarding the notation a^-1, which represents 1/a. The user expresses difficulty in solving the problem and plans to share their work later for further assistance.
Mach
Messages
14
Reaction score
0
please help me with this quest i cannot figure it out (please show your work thanks!) sry i made a mistake this is not algebra. it is sloving complex fractions

Determine a polynomial or rational algebraic expression in simple form equivalent to each of the following: C3

1+(a+a^-1)^-1



















the answer is (a^2+a+1)/(a^2+1)
 
Last edited:
Physics news on Phys.org
Each time you encounter addition of fraction, put them on the same denominator. In the end, you'll have (somthing)/(something), which is the goal of the exercice.
 
Do you know what a-1 means?
 
yes i do it means 1/a

i just can't get the answer. i have to go to school now so ill post my work when i get home
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

What is the algebraic proof for the remainder of 11 when dividing by 12?
Replies
5
Views
2K
Scholarship exam exercise about complex numbers - Can't solve
Replies
9
Views
2K
I Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals
Replies
0
Views
2K
Proving convergence of rational sequence
Replies
2
Views
1K
Using binomial coefficients to find sum of roots
Replies
3
Views
2K
Solving a 3rd Degree Polynomial: What are the Options?
Replies
10
Views
3K
How Do You Form a Degree 4 Polynomial with Given Complex Zeros?
Replies
7
Views
2K
Gelfand's "Algebra" prob. 42 - corrections & hints?
Replies
11
Views
4K
I A doubt about the multiplicity of polynomials in two variables
Replies
8
Views
2K
Partial fraction decomposition exercise 2
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top