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ICSE Class 10 Answered

  Find x, if 16((a-x)3)/((a+x)3) = (a+x)/(a-x)
Asked by gbhangu131313 | 08 Apr, 2019, 06:18: PM
answered-by-expert Expert Answer
begin mathsize 16px style 16 open square brackets fraction numerator open parentheses straight a space minus space straight x close parentheses 3 over denominator open parentheses straight a space plus space straight x close parentheses 3 end fraction close square brackets space equals space fraction numerator open parentheses straight a space plus space straight x close parentheses over denominator open parentheses straight a space minus space straight x close parentheses end fraction
rightwards double arrow 16 space cross times space fraction numerator open parentheses straight a space minus space straight x close parentheses over denominator open parentheses straight a space plus space straight x close parentheses end fraction equals space fraction numerator open parentheses straight a space plus space straight x close parentheses over denominator open parentheses straight a space minus space straight x close parentheses end fraction
rightwards double arrow 16 space equals space open parentheses straight a space plus space straight x close parentheses squared over open parentheses straight a space minus space straight x close parentheses squared
Taking space Square space root space on space both space the space sides comma space we space get
rightwards double arrow 4 space equals space fraction numerator straight a space plus space straight x over denominator straight a space minus space straight x end fraction
rightwards double arrow 4 straight a space minus space 4 straight x space equals space straight a space plus space straight x
rightwards double arrow 3 straight a space equals space 5 straight x
rightwards double arrow straight x space equals space fraction numerator 3 straight a over denominator 5 end fraction end style
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