perplexus.info :: Just Math : Quadratic fractions

Quadratic fractions (Posted on 2025-04-10)

Find the sum of the real values of x satisfying

2x² + 20x + 21    2x² + 24x + 11
-------------- = ---------------
2x² − 12x + 20    2x² − 8x + 10

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

solution, maybe

| Comment 1 of 4

Set A=2x^2+20x+21 and B=2x^2+24x+11.

Then the equation becomes A/(A-32x-1)=B/(B-32x-1).

Inverting gives (-32x-1)/A=(-32x-1)/B or A=B. So 4x=10 and x=5/2 is the sole solution.

Posted by xdog on 2025-04-10 11:45:16

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info