SOLUTION: find three consecutive integers for which the sum of the squares is 65 more than three times the square of the smallest intege

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find three consecutive integers for which the sum of the squares is 65 more than three times the square of the smallest intege       Log On


   

Question 624478: find three consecutive integers for which the sum of the squares is 65 more than three times the square of the smallest intege
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

find three consecutive integers highlight%28x%29 , highlight%28x%2B1%29  ,highlight%28x%2B2%29  

for which the sum of the squares is 65 more than three times the square of the smallest intege

  x^2 + (x+1)^2 +(x+2)^2 = 3x^2 +65

Expand, Solve for x, List the 3 Integers.