Найдите первый члентарифмитической прогресии

[latex]a_6=a_1+5d\\a_8=a_1+7d\\a_{10}=a_1+9d\\\begin{cases}(a_1+5d)(a_1+7d)=144\\a_1+a_1+9d=41\end{cases}\Rightarrow\begin{cases}a_1^2+12a_1d+35d^2=144\\d=\frac{41-2a_1}9\end{cases}\\a_1^2+12a_1(\frac{41-2a_1}9)+35\cdot(\frac{41-2a_1}9)^2=144\\a_1^2+\frac{164a_1-8a_1^2}3+35\cdot\frac{1681-164a_1+4a_1^2}{81}=144\\a_1^2+\frac{164a_1-8a_1^2}3+\frac{58835-5740a_1+140a_1^2}{81}=144\;\;\;\times81\\81a_1^2+4428a_1-216a_1^2+58835-5740a_1+140a_1^2=11664\\5a_1^2-1312a_1+47171=0\\D=1721344-4\cdot5\cdot47171=777924=(882)^2[/latex] [latex]a_1=43\;\;\;u\;\;\;a_1=219,4[/latex]