[tex]\bf\displaystyle x^{2} + 10x + 0,1 = 0\\\\a = 1; b = 10; c = 0,1\\\\D = b^{2} - 4ac = 10^{2} - 4 \cdot 1 \cdot 0,1 = 100 - 0,4 = 99,6\\\\x = \frac{-b\pm\sqrt{D} }{2a} = \frac{-10\pm\sqrt{99,6} }{2 \cdot 1} = - 5\pm\sqrt{24,9} \\\\[/tex]ОТВЕТ: x₁,₂ = - 5 ± √24.9
Ответ:Корни уравненияx^2 + 10x + 0.1 = 0равны:x_1 \approx -0.0100, \quad x_2 \approx -9.9900\]