Уравнение

[Гост]

х × (х/2 - 5)=-8

[ammornil]

х × (х/2 - 5)=-8

[tex]\\ \quad \\ x\cdot\left(\frac{x}{2}-5 \right)=-8 \quad \Leftrightarrow \quad \frac{x^{2}}{2}-5x+8=0 \quad \Leftrightarrow \quad x^{2}-10x+16=0 \\ \quad x^{2}-2x-8x+16=x(x-2)-8(x-2)=(x-2)(x-8) \\ (x-2)(x-8)=0 \\
\\ x-2=0 \quad \cup \quad x-8=0 \\ x_{1}=2 \quad \cup \quad x_{2}=8[/tex]