Please solve this question 

Asked by vikasg13.hardware | 28th Jun, 2018, 05:52: AM

Expert Answer:

begin mathsize 16px style We space have comma
space straight a space plus space straight b space equals space straight a over straight b space plus space straight b over straight a
rightwards double arrow straight a space plus space straight b space equals space fraction numerator straight a squared space plus space straight b squared over denominator ab end fraction
rightwards double arrow ab space left parenthesis space straight a space plus space straight b space right parenthesis space equals space straight a squared space plus space straight b squared
rightwards double arrow straight a squared. space straight b space plus space space straight b squared. space straight a space equals space space straight a squared space plus space straight b squared
rightwards double arrow straight a squared space left parenthesis space straight b space minus space 1 right parenthesis space plus space straight b squared space left parenthesis space straight a space minus space 1 right parenthesis space equals space 0 space... left parenthesis 1 right parenthesis
Since space straight a space and space straight b space are space positive space integers comma space their space square space can apostrophe straight t space be space zero.
So space in space order space to space make space the space equation space 1 space equal space to space zero.
left parenthesis straight b minus 1 right parenthesis space and space left parenthesis straight a minus 1 right parenthesis both space has space to space be space 0. space space
Therefore comma space space straight b minus 1 equals 0 rightwards double arrow straight b equals 1 space space and space space straight a minus 1 equals 0 space rightwards double arrow space straight a equals 1
Hence space straight a squared space plus space straight b squared space equals space 2
space space space space space space space space space space space space space space space space space space space space space space space space space space space end style

Answered by Yasmeen Khan | 28th Jun, 2018, 09:34: AM

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