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ICSE Class 10 Answered

16(a-x/a+x)^3=a+x/a-x. Find x.
Asked by suchipambhar23 | 05 Apr, 2019, 10:38: PM
answered-by-expert Expert Answer
begin mathsize 12px style 16 open parentheses fraction numerator a minus x over denominator a plus x end fraction close parentheses cubed space equals space fraction numerator a plus x over denominator a minus x end fraction end style ....................(1)
Let begin mathsize 12px style fraction numerator a minus x over denominator a plus x end fraction space equals space alpha end style
then eqn.(1) is written as, 16α3 = ( 1/α)   or  16 α4 = 1    or  α4 = 1/16 = (1/2)4
 
hence begin mathsize 12px style alpha space equals space fraction numerator a minus x over denominator a plus x end fraction space equals space 1 half end style   .....................(2)
above eqn.(2) is solved for x, we get x = a/3
Answered by Thiyagarajan K | 06 Apr, 2019, 11:11: AM

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