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CBSE Class 10 Answered

Solve: 1/(x-1)(x-2) + 1/(x-2)(x-3)=2/3
Asked by gkt916 | 11 Feb, 2018, 11:14: AM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 1 over denominator left parenthesis straight x minus 1 right parenthesis left parenthesis straight x minus 2 right parenthesis end fraction plus fraction numerator 1 over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 3 right parenthesis end fraction equals 2 over 3
rightwards double arrow fraction numerator straight x minus 3 plus straight x minus 1 over denominator left parenthesis straight x minus 1 right parenthesis left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 3 right parenthesis end fraction equals 2 over 3
rightwards double arrow fraction numerator 2 straight x minus 4 over denominator straight x cubed minus 6 straight x squared plus 11 straight x minus 6 end fraction equals 2 over 3
rightwards double arrow fraction numerator begin display style 2 left parenthesis straight x minus 2 right parenthesis end style over denominator begin display style straight x cubed minus 6 straight x squared plus 11 straight x minus 6 end style end fraction equals fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction
rightwards double arrow fraction numerator begin display style straight x minus 2 end style over denominator begin display style straight x cubed minus 6 straight x squared plus 11 straight x minus 6 end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction
rightwards double arrow 3 straight x minus 6 equals straight x cubed minus 6 straight x squared plus 11 straight x minus 6
rightwards double arrow straight x cubed minus 6 straight x squared plus 8 straight x equals 0
rightwards double arrow straight x left parenthesis straight x squared minus 6 straight x plus 8 right parenthesis equals 0
rightwards double arrow straight x squared minus 6 straight x plus 8 equals 0
Solve space this space quadratic space equation space to space get space the space value space of space straight x. end style
Answered by Rashmi Khot | 11 Feb, 2018, 03:13: PM
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