i f space x equals 3 plus square root of 8 comma space t h e n space f i n d space t h e space v a l u e space o f space open parentheses x squared plus 1 over x squared close parentheses.

Asked by kishor.kp14 | 24th Jun, 2019, 07:53: PM

Expert Answer:

begin mathsize 16px style straight x space equals space 3 space plus space square root of 8
rightwards double arrow straight x space equals space fraction numerator open parentheses 3 space plus space square root of 8 close parentheses open parentheses 3 space minus space square root of 8 close parentheses over denominator open parentheses 3 space minus space square root of 8 close parentheses end fraction equals fraction numerator space 3 squared space minus space open parentheses square root of 8 close parentheses squared over denominator open parentheses 3 space minus space square root of 8 close parentheses end fraction space equals space fraction numerator 9 space minus space 8 over denominator 3 space minus space square root of 8 end fraction space equals space fraction numerator 1 over denominator 3 space minus space square root of 8 end fraction
rightwards double arrow 1 over straight x equals space 3 space minus space square root of 8
To space find space colon space straight x squared space plus space 1 over straight x squared space equals space ?
rightwards double arrow straight x squared space plus 1 over straight x squared equals space space straight x squared space plus open parentheses 1 over straight x close parentheses squared
space space space space space space space space space space space space space space space space equals space open parentheses 3 space plus space square root of 8 close parentheses squared space plus space open parentheses 3 space minus space square root of 8 close parentheses squared space
space space space space space space space space space space space space space space space space equals space 9 space plus space 8 space plus space 6 square root of 8 space plus space 9 space plus space 8 space minus 6 square root of 8 space
space space space space space space space space space space space space space space space space equals space 34 end style

Answered by Yasmeen Khan | 25th Jun, 2019, 09:50: AM