CBSE Class 9 Answered
If
, then find the value of n.
A) 3
B)10
C) 5
D) 8
Asked by adalroshan2464 | 14 Nov, 2018, 17:59: PM
![begin mathsize 16px style 2 to the power of 3 straight n end exponent over 8 plus 1 plus 3 cross times 2 to the power of straight n over 2 plus 3 cross times 2 to the power of 2 straight n end exponent over 4 equals 4913
open parentheses fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction close parentheses cubed plus 1 plus 3 cross times fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction plus 3 cross times open parentheses fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction close parentheses squared equals 4913
Put space fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction equals straight m
straight m cubed plus 1 plus 3 straight m plus 3 straight m squared equals 4913
straight m cubed plus 3 straight m squared plus 3 straight m plus 1 minus 4913 equals 0
straight m cubed plus 3 straight m squared plus 3 straight m minus 4912 equals 0
left parenthesis straight m minus 16 right parenthesis left parenthesis straight m squared plus 19 straight m plus 307 right parenthesis equals 0
straight m equals 16
fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction equals 16
2 to the power of straight n minus 1 end exponent equals 2 to the power of 4
straight n minus 1 equals 4
straight n equals 5 end style](https://images.topperlearning.com/topper/tinymce/cache/0f01f36f5944d8b8c715fecb349efb87.png)
Answered by Sneha shidid | 15 Nov, 2018, 12:03: PM
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