SOLUTION: The 1st, 2nd, and 3rd digits are all the same. Together they make a three-digit number that is 70 less than the square of the product of the first two digits.

Question 784154: The 1st, 2nd, and 3rd digits are all the same. Together they make a three-digit number that is 70 less than the square of the product of the first two digits.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The 1st, 2nd, and 3rd digits are all the same.
100n+10n+n = 11n
Together they make a three-digit number that is 70 less than the square of the product of the first two digits.
111n = (n*n)^2 - 70
111n = (n^2)^2 - 70
111n = n^4 - 70
n^4 - 111n - 70 = 0
Find the positive solution for this equation by graphing

n = 5
:
:
See if that works in the original statement
555 = (5*5)^2 - 70
555 = 625 - 70

RELATED QUESTIONS
if the 1st,2nd and 3rd digits are all the same. together they form a 3-digit number that... (answered by ankor@dixie-net.com)

find the 5 digit number that has the following characteristics. -no 2 digits are the... (answered by prince_abubu)

A 3 digit number is equal to 17 times the sum of its digits. If 198 is added to the... (answered by mathmate)

Just calculate the 4 digit no......... 4th digit is tree times of 1st digit 2nd nd 3rd... (answered by KMST)

The sum of 3 numbers is 33. The 2nd number is 7 less than the 1st, and the 3rd is three... (answered by Mathtut)

I tried to use similar problems but can't seem to figure this one out. Please provide... (answered by stanbon,ankor@dixie-net.com)

A 4-digit car number has the following: 3rd digit and 2nd digit are d same.. Doubling... (answered by virali)

find 4 rational numbers such that the product of the 1st 2nd and 3rd is 54. The 2nd... (answered by ankor@dixie-net.com)

I'm a four-digit number! My 2nd digit is twice greater than my 3rd. The sum of all my... (answered by ankor@dixie-net.com)