SOLUTION: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number provide an example plea

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number provide an example plea      Log On


   



Question 183359: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number
provide an example please

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x. Then the other one is (x+1)
%28x%2B1%29%5E2+-+x%5E2
x%5E2+%2B+2x+%2B+1+-+x%5E2
2x+%2B+1
2x will always be even. So 2x+1 is always odd
4 , 5
25-16 = 9 which is odd