Trả lời:
\(103-57:\left\{-2\left[2x-1\right]^2-\left[-9\right]^0\right\}=\left[-106\right]\)
\(\Leftrightarrow103-57:\left[-2\left(2x-1\right)^2-1\right]=-106\)
\(\Leftrightarrow57:\left[-2\left(2x-1\right)^2-1\right]=209\)
\(\Leftrightarrow-2\left(2x-1\right)^2-1=\frac{3}{11}\)
\(\Leftrightarrow-2\left(2x-1\right)^2=\frac{3}{11}+1\)
\(\Leftrightarrow-2\left(2x-1\right)^2=\frac{14}{11}\)
\(\Leftrightarrow\left(2x-1\right)^2=\frac{14}{11}\div\left(-2\right)\)
\(\Leftrightarrow\left(2x-1\right)^2=\frac{14}{11}\times\frac{-1}{2}\)
\(\Leftrightarrow\left(2x-1\right)^2=\frac{-7}{11}\)
\(\Leftrightarrow2x-1\in\varnothing\)Vì\(\left(2x-1\right)^2\ge0\)với\(\forall x\)
\(\Leftrightarrow x\in\varnothing\)
Vậy\(x\in\varnothing\)
Hok tốt!
Good girl