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ICSE Class 10 Answered

solve: x/3+3/6-x=2(6+x)/15  where x is not eqaul to 6
Asked by nandinidwivedi062002 | 21 Dec, 2017, 03:36: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x over 3 plus fraction numerator 3 over denominator 6 minus straight x end fraction equals fraction numerator 2 left parenthesis 6 plus straight x right parenthesis over denominator 15 end fraction
rightwards double arrow fraction numerator 6 straight x minus straight x squared plus 9 over denominator 18 minus 3 straight x end fraction equals fraction numerator 12 plus 2 straight x over denominator 15 end fraction
rightwards double arrow 90 straight x minus 15 straight x squared plus 135 equals 216 plus 36 straight x minus 36 straight x minus 6 straight x squared
rightwards double arrow 90 straight x minus 15 straight x squared plus 135 equals 216 minus 6 straight x squared
rightwards double arrow 9 straight x squared minus 90 straight x plus 81 equals 0
rightwards double arrow straight x squared minus 10 straight x plus 9 equals 0
rightwards double arrow straight x squared minus 9 straight x minus straight x plus 9 equals 0
rightwards double arrow straight x left parenthesis straight x minus 9 right parenthesis minus 1 left parenthesis straight x minus 9 right parenthesis equals 0
rightwards double arrow left parenthesis straight x minus 9 right parenthesis left parenthesis straight x minus 1 right parenthesis equals 0
rightwards double arrow straight x equals 9 space or space straight x equals 1 end style
Answered by Rashmi Khot | 22 Dec, 2017, 08:55: AM
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