SOLUTION: the sum of the square of a number and 1,divided by the difference of 1 from the square gives 221 divided by 220.what is the number?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the sum of the square of a number and 1,divided by the difference of 1 from the square gives 221 divided by 220.what is the number?       Log On


   

Question 1035704: the sum of the square of a number and 1,divided by the difference of 1 from the square gives 221 divided by 220.what is the number?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2B1%29%2F%281-x%5E2%29+=+221%2F220 ==> 220x%5E2+%2B+220+=+221+-+220x%5E2
==> 441x%5E2+=+1 ==> x%5E2+=+1%2F441 ==> x+=+1%2F21 or x+=+-1%2F21.