\(5x-3\left\{4x-2\left[4x-3\left(5x-2\right)\right]\right\}=182\)
\(\Rightarrow5x-3\left\{4x-2\left[4x-15x+6\right]\right\}=182\)
\(\Rightarrow5x-3\left\{4x-2\left[-11x+6\right]\right\}=182\)
\(\Rightarrow5x-3\left\{4x-\left(-22x+12\right)\right\}=182\)
\(\Rightarrow5x-3\left\{4x+22x-12\right\}=182\)
\(\Rightarrow5x-3\left\{26x-12\right\}=182\)
\(\Rightarrow5x-78x+36=182\)
\(\Rightarrow-73x=146\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
\(5x-3.\left(4x-2.\left(4x-3.\left(5x-2\right)\right)\right)=182\\ \)
\(\Leftrightarrow5x-3.\left(4x-2.\left(4x-15x+6\right)\right)=182\)\(\Leftrightarrow5x-3.\left(4x-2.\left(6-11x\right)\right)=182\)
\(\Leftrightarrow5x-3.\left(4x-12+22x\right)=182\Leftrightarrow5x-3.\left(26x-12\right)=182\)
\(\Leftrightarrow5x-78x+36=182\Leftrightarrow-73x=146\Leftrightarrow x=-2\)
Ta có: 5x - 3{ 4x -2[ 4x - 3( 5x - 2 )]} = 182
Suy ra ( 5x - 3 )( 4x - 2 )( 4x - 3 )( 5x - 2 ) = 182
Suy ra [( 5x - 3 )( 4x - 2 )][( 4x -3 )( 5x - 2 )] = 182
Suy ra ( 20x2 - 12x - 10x + 6)( 20x2 - 15x - 8x + 6 ) = 182
Suy ra ( 20x2 - 22x + 6)( 20x2 - 23x + 6 ) = 182
Suy ra 400x4 - 44x3 + 120x2 - 460x3 + 506x3 - 138x + 120x2 - 132x + 36 = 182
Suy ra 400x4 + ( 506x3 - 460x3 - 44x3 ) + ( 120x2 + 120x2 ) - ( 138x + 132x ) + 36 = 182
Suy ra 400x4 + x3 + 240x2 - 270x = 146
Còn lại bạn tự làm nha, quá dễ
