plz answer the questions

Asked by Anil | 2nd Jul, 2017, 06:35: PM

Expert Answer:

begin mathsize 16px style open parentheses straight a plus square root of straight a squared minus 1 end root close parentheses to the power of straight x squared minus 2 straight x end exponent plus open parentheses straight a minus square root of straight a squared minus 1 end root close parentheses to the power of straight x squared minus 2 straight x end exponent equals 2 straight a
Let comma space straight x squared minus 2 straight x equals straight m
open parentheses straight a plus square root of straight a squared minus 1 end root close parentheses to the power of straight m plus open parentheses straight a minus square root of straight a squared minus 1 end root close parentheses to the power of straight m equals 2 straight a
RHS space will space be space 2 straight a space only space when space two space terms space on space LHS space side
will space add space up space to space 2 straight a.
Hence comma space straight m equals 1
rightwards double arrow straight x squared minus 2 straight x equals 1
rightwards double arrow straight x squared minus 2 straight x minus 1 equals 0
Using space formula space method space you space can space find space the space value space of space straight x
Which space will space be space straight x equals 1 plus-or-minus square root of 2
Similarly space you space can space do space the space forst space sum space also. end stylePlease post the proper question whether to prove or to solve these questions?

Answered by Sneha shidid | 3rd Jul, 2017, 01:51: PM