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ICSE Class 9 Answered

If x=7+5√2 then, (x^2+1/x^2) =?
Asked by adhoksajadasa15011972 | 17 Nov, 2019, 06:18: PM
answered-by-expert Expert Answer
x = 7 + 5√2 
then 1/x = (7 + 5√2)/(7 - 5√2) ×(7 - 5√2)
1/x = (7 - 5√2)/(-1) = 5√2 - 7
 
Using x2 + 1/x2 = (x + 1/x)2 - 2 
                        = (7 + 5√2 + 5√2 - 7)2 - 2 
                        = (10√2)2 - 2 
                        = 200 - 2 
                        = 198
Answered by Sneha shidid | 18 Nov, 2019, 09:00: AM
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