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CBSE Class 10 Answered

1.SOLVE FOR X : 12x² - 6 (a²+b²)x + 3a²b²=0
Asked by satish.mathradan | 11 Mar, 2017, 10:59: PM
answered-by-expert Expert Answer

begin mathsize 14px style 12 straight x squared minus 6 left parenthesis straight a squared plus straight b squared right parenthesis straight x plus 3 straight a squared straight b squared equals 0
rightwards double arrow 4 straight x squared minus 2 left parenthesis straight a squared plus straight b squared right parenthesis straight x plus straight a squared straight b squared equals 0 space space space space space space space left parenthesis Dividing space throughout space by space 3 right parenthesis
rightwards double arrow 4 straight x squared minus 2 straight a squared straight x minus 2 straight b squared straight x plus straight a squared straight b squared equals 0
rightwards double arrow 2 straight x left parenthesis 2 straight x minus straight a squared right parenthesis minus straight b squared left parenthesis 2 straight x minus straight a squared right parenthesis equals 0
rightwards double arrow left parenthesis 2 straight x minus straight a squared right parenthesis left parenthesis 2 straight x minus straight b squared right parenthesis equals 0
rightwards double arrow 2 straight x minus straight a squared equals 0 space space space or space space space space space space space 2 straight x minus straight b squared equals 0
rightwards double arrow straight x equals straight a squared over 2 space space space space or space space space space straight x equals straight b squared over 2 space space space end style

Answered by | 14 Mar, 2017, 05:32: PM
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