Help me to solve the following..

Asked by nitishkrnehu09 | 18th Nov, 2017, 09:28: PM

Expert Answer:

begin mathsize 16px style square root of straight x plus 3 minus 4 square root of straight x minus 1 end root end root plus square root of straight x plus 8 minus 6 square root of straight x minus 1 end root end root equals 1
Put space square root of straight x minus 1 end root equals straight t
rightwards double arrow straight x equals straight t squared plus 1
after space simplifying space it space you space will space get comma
square root of open parentheses straight t minus 2 close parentheses squared end root plus square root of open parentheses straight t minus 3 close parentheses squared end root equals 1
rightwards double arrow straight t minus 2 plus straight t minus 3 equals 1 space space space space space space space space OR space space space space space space space space minus left parenthesis straight t minus 2 right parenthesis minus open parentheses straight t minus 3 close parentheses equals 1
Hence comma space we space get space two space values space of space straight t
rightwards double arrow We space will space have space two space distinct space values space of space straight x. end style

Answered by Sneha shidid | 1st Dec, 2017, 05:49: PM