The solution of the equation [ x+ x]^ 1+ 2 x =2 , where - x is

Step-by-step solution

aligned & ( x+ x)^ 1+ 2 x =2 where - x & ( x+ x)^ ( x+ x)^2 =2 [ ( x+ x)^2 . & = ^2 x+ ^2 x+2 x & =1+ 2 x] & a^2+b^2 a x+b x a^2+b^2 & - 1^2+1^2 x+ x 1^2+1^2 & - 2 x+ x 2 & For - x & x+ x=- 2 at x=- 4 & aligned x+ x= 2 at x= / 4 Now, at x= / 4 We get aligned ( 2 )^ ( 2 )^2 & =2 & =( 2 )^2=2=2=2 aligned It is a solution. At x=- 4 We get aligned (- 2 )^ (- 2 )^2 & =2 (- 2 )^2 & =2 2=2 aligned It is also a solution.