Упростите [tex]sqrtx+2sqrtx-1 + sqrtx-2sqrtx-1 (1leq xleq 2)[/tex]

task/29839281 Упростите  [ x +2(x-1) ] + [ x -2(x-1) ]    ( 1 x  2)

решение [ x +2(x-1) ] +[ x - 2(x-1) ] =[ x -1 +2(x-1) +1 ] +[ x -1 -2(x-1) +1 ] =

[(x -1) + 1] + [ (x -1) - 1]  = (x -1) + 1 + (x -1) - 1  = (x -1) + 1 -((x -1) - 1) =2.

*  *  *  1  x   2   0 x -1    1 0   (x -1 )   1 -1 (x -1 ) - 1  0

(x -1 ) - 1  = - ((x -1 ) - 1 )  * * *

I hope this helps you