SOLUTION: The problem says choose another pair of values for a + b. The equation is: (a + b)^2 = a^2 + b^2

Algebra ->  Equations -> SOLUTION: The problem says choose another pair of values for a + b. The equation is: (a + b)^2 = a^2 + b^2      Log On


   



Question 648841: The problem says choose another pair of values for a + b. The equation is: (a + b)^2 = a^2 + b^2
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Bb%29%5E2+=++a%5E2+%2B+2ab+%2B+b%5E2 by foil
Then a^2+2ab+b^2 = a^2+b^2, so 2ab+=+0
So any choice for a,b must contain at least one zero.
One example: a=0, b=1.
Check:
(0+1)^2 = 0^2 + 1^2
1 = 1 TRUE
Any choice that satisfies a or b being 0 (or both) will give you a correct answer. Pick your favorite number and 0, and check it.