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CBSE Class 9 Answered

If X^2+1/x^2=98 then find the value of x^3+1/x^3.
Asked by Prem | 16 Sep, 2015, 10:17: PM
answered-by-expert Expert Answer
G i v e n space t h a t space x squared plus 1 over x squared equals 98 W e space k n o w space t h a t comma space open parentheses x plus 1 over x close parentheses squared equals x squared plus 1 over x squared plus 2 T h u s comma space x squared plus 1 over x squared plus 2 equals 98 plus 2 rightwards double arrow open parentheses x plus 1 over x close parentheses squared equals 100 rightwards double arrow open parentheses x plus 1 over x close parentheses squared equals 10 squared rightwards double arrow x plus 1 over x equals 10 W e space n e e d space t o space f i n d space t h e space v a l u e space o f space x cubed plus 1 over x cubed colon space W e space k n o w space t h a t comma space x cubed plus 1 over x cubed equals open parentheses x plus 1 over x close parentheses open parentheses x squared minus 1 plus 1 over x squared close parentheses T h u s comma x cubed plus 1 over x cubed equals 10 cross times open parentheses 98 minus 1 close parentheses equals 970
Answered by Vimala Ramamurthy | 17 Sep, 2015, 02:27: PM

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