If left parenthesis a plus b right parenthesis squared=2 a squared+2 b squared, show that a=b

Asked by Divyaa | 29th Oct, 2015, 07:35: PM

Expert Answer:

G i v e n space t h a t space open parentheses a plus b close parentheses squared equals 2 a squared plus 2 b squared rightwards double arrow a squared plus b squared plus 2 a b equals 2 a squared plus 2 b squared rightwards double arrow 2 a squared plus 2 b squared minus a squared minus b squared minus 2 a b equals 0 rightwards double arrow a squared plus b squared minus 2 a b equals 0 rightwards double arrow open parentheses a minus b close parentheses squared equals 0 rightwards double arrow open parentheses a minus b close parentheses equals 0 rightwards double arrow a equals b

Answered by Vimala Ramamurthy | 29th Oct, 2015, 08:29: PM