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ICSE Class 10 Answered

Quadratic equations  Solve for x: x-1/x-2 + x-3/x-4 = 10/3 ( x is not equal to 2,4)
Asked by Suman | 04 Apr, 2018, 07:30: PM
answered-by-expert Expert Answer

Hi,

begin mathsize 16px style fraction numerator left parenthesis left parenthesis straight x minus 1 right parenthesis left parenthesis straight x minus 4 right parenthesis plus left parenthesis straight x minus 3 right parenthesis left parenthesis straight x minus 2 right parenthesis right parenthesis over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 4 right parenthesis end fraction equals space 10 over 3 space space
fraction numerator left parenthesis straight x ² minus 4 straight x minus straight x plus 4 plus straight x ² minus 2 straight x minus 3 straight x plus 6 right parenthesis over denominator left parenthesis straight x ² minus 4 straight x minus 2 straight x plus 8 right parenthesis end fraction equals space 10 over 3 space space

fraction numerator space left parenthesis 2 straight x ² minus 10 straight x plus 10 right parenthesis over denominator left parenthesis straight x ² minus 6 straight x plus 8 right parenthesis end fraction equals 10 over 3 space space end style

Cross multiply and by middle term, splitting or by the formula, you can get the value for x.

 

Answered by Arun | 04 Apr, 2018, 11:30: PM
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