a, \(\left(-2\right)^2-2x^2=-50.\)
\(\Leftrightarrow4-2x^2=-50\)
\(\Leftrightarrow2x^2-54=0\)
\(\Leftrightarrow x^2-27=0\)
\(\Leftrightarrow\left(x-3\sqrt{3}\right)\left(x+3\sqrt{3}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\sqrt{3}\\x=-3\sqrt{3}\end{cases}}\)
\(\left(-2\right)^2-2x^2=-50\)
\(\Leftrightarrow x^2=\frac{-50-\left(-2\right)^2}{-2}\)
\(\Leftrightarrow x^2=27\)
\(\Leftrightarrow x=\pm\sqrt{27}\)
\(\Leftrightarrow x=\pm3\sqrt{3}\)
\(\frac{2}{x}-\frac{5}{x}=-9\)
\(\Leftrightarrow\frac{2-5}{x}=-9\)
\(\Leftrightarrow-3=-9x\)
\(\Leftrightarrow x=\frac{-3}{-9}=\frac{1}{3}\)
\(2|x|-5|x|=-9\)
*Với x < 0 ta có phương trình:
\(-2x+5x=-9\)
\(\Leftrightarrow3x=-9\)
\(\Leftrightarrow x=-3\)(TM)
*Với \(x\ge0\)ta có phương trình:
\(2x-5x=-9\)
\(\Leftrightarrow-3x=-9\)
\(\Leftrightarrow x=3\)(TM)
Vậy ..........
