\(\vphantom{\frac{0}{0}}{\largeа)}\ 16+x^2=0\)
\(\phantom{\largeа)}\ x^2={-}16\)
\(\phantom{\largeа)\ }\)нет корней
\(\vphantom{\frac{0}{0}}{\largeб)}\ 0{,}3x^2=0{,}027\)
\(\phantom{\largeб)}\ x^2=0{,}027:0{,}3\)
\(\phantom{\largeб)}\ x^2=0{,}09\)
\(\phantom{\largeб)\ }\begin{array}[t]{ll}x_1={-}\sqrt{0{,}09}&\largeи&x_2=\sqrt{0{,}09}\\[-1ex]\\x_1={-}0{,}3&\largeи&x_2=0{,}3\end{array}\)
\(\vphantom{\frac{0}{0}}{\largeв)}\ 0{,}5x^2=30\)
\(\phantom{\largeв)}\ x^2=30:0{,}5\)
\(\phantom{\largeв)}\ x^2=60\)
\(\phantom{\largeв)\ }\begin{array}[t]{ll}x_1={-}\sqrt{60}&\largeи&x_2=\sqrt{60}\end{array}\)
\({\largeг)}\ {-}5x^2=\frac{1}{20}\)
\(\phantom{\largeг)}\ x^2=\frac{1}{20}:({-}5)\)
\(\phantom{\largeг)}\ x^2=\frac{1}{20}\cdot\left({-}\frac{1}{5}\right)\)
\(\phantom{\largeг)}\ x^2={-}\frac{1}{100}\)
\(\phantom{\largeг)\ }\) нет корней
\(\vphantom{\frac{0}{0}}{\largeд)}\ x^3-3x=0\)
\(\phantom{\largeд)}\ x(x^2-3)=0\)
\(\phantom{\largeд)\ }\begin{array}[t]{ll}x_1=0&\largeили&x^2-3=0\\[-1ex]\\&&x^2=3\\[-1ex]\\&&\begin{array}[t]{ll}x_2={-}\sqrt3&\largeи&x_3=\sqrt3\end{array}\end{array}\)
\(\vphantom{\frac{0}{0}}{\largeе)}\ x^3-11x=0\)
\(\phantom{\largeе)}\ x(x^2-11)=0\)
\(\phantom{\largeе)\ }\begin{array}[t]{ll}x_1=0&\largeили&x^2-11=0\\[-1ex]\\&&x^2=11\\[-1ex]\\&&\begin{array}[t]{ll}x_2={-}\sqrt{11}&\largeи&x_3=\sqrt{11}\end{array}\end{array}\)
