SOLUTION: If 22 times a number is decreased by 55​, the principal square root of this difference is 44  less than the number. Find the​ number(s).

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Question 1120186: If 22 times a number is decreased by 55​, the principal square root of this difference is 44  less than the number. Find the​ number(s).
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n, the number
22n-55

"This difference", 21n-55;

highlight_green%28sqrt%2821n-55%29=n-44%29

21n-55=n%5E2-88n%2B1936

n%5E2-109n%2B1991=0

discriminant is 3917;
.
.
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I'm not sure why the other tutor came up with the equation

sqrt%2821n-55%29+=+n-44

The way I read the problem the equation is

sqrt%2822n-55%29+=+n-44

However, the wording of the problem seems to suggest that the problem has a whole number answer; this equation does not.

I note that there are some unreadable characters in your post; perhaps they are hiding some required information about the problem.

I suggest that you re-post the question using only standard keyboard characters. Or, if either of the equations shown by me or the other tutor is the correct interpretation, then make it clear that an irrational answer is okay.