if x=a square+b square /2a then find the value of y in equation (a+b)x+(a-b)y=a square+b square

Asked by mkvinvestments6 | 14th Sep, 2015, 06:20: PM

Expert Answer:

 

x equals fraction numerator a squared plus b squared over denominator 2 a end fraction rightwards double arrow a squared plus b squared equals 2 a x  N o w space t h e space g i v e n space e q u a t i o n space i s left parenthesis a plus b right parenthesis x plus left parenthesis a minus b right parenthesis y equals a squared plus b squared rightwards double arrow left parenthesis a plus b right parenthesis x plus left parenthesis a minus b right parenthesis y equals 2 a x rightwards double arrow left parenthesis a minus b right parenthesis y equals 2 a x minus a x minus b x rightwards double arrow left parenthesis a minus b right parenthesis y equals left parenthesis a minus b right parenthesis x rightwards double arrow x equals y space left parenthesis a s s u m i n g space a not equal to b right parenthesis H e n c e comma space y equals fraction numerator a squared plus b squared over denominator 2 a end fraction

Answered by  | 14th Sep, 2015, 06:34: PM

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