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यदि `x=3+2sqrt(2)` है तो `x^(2)+1/(x^(2))` का मान क्या होगा?A. 36B. 30C. 32D. 34 |
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Answer» Correct Answer - D `x=3+2sqrt(2)` `x^(2)=(3+2sqrt(2))^(2)` (Squaring both sides) `=9+8+12sqrt(2)=17+12sqrt(2)` `1/(x^(2))=1/(17+12sqrt(2))xx(17-12sqrt(2))/(17-12sqrt(2))` `= 17-12sqrt(2)` `:. 1/(x^(2))+x^(2)` `= 17+12sqrt(2)+17-12sqrt(2)=34` |
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