(x-1)²-(x-2)*(x+2)=0
x²-2x+1-x²+4=0
-2x=-5|:(-2)
x=2,5
Ответ:2,5.
У=2х²-3√х +5
х₀=1/4
у' = 4x-<u> 3 </u>
2√x
y(x₀)' = 4 * (1/4) - <u> 3 </u> = 1 - <u> 3 </u>= 1 -3 = -2 - угловой коэффициент.
2√(1/4) 2*(1/2)
Ответ: -2.
![y=|x-6| -2,\; \; 2\ \textless \ x\ \textless \ 8\\\\|x-6|=y+2\; \; \to \; \; x-6=\pm (y+2)\\\\1)\; \; \left \{ {{x-6=y+2} \atop {2\ \textless \ x<8}} \right. \; \left \{ {{y=x-8} \atop {2\ \textless \ x\ \textless \ 8}} \right.](https://tex.z-dn.net/?f=y%3D%7Cx-6%7C%0A-2%2C%5C%3B+%5C%3B+2%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+8%5C%5C%5C%5C%7Cx-6%7C%3Dy%2B2%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+x-6%3D%5Cpm+%28y%2B2%29%5C%5C%5C%5C1%29%5C%3B+%5C%3B++%5Cleft+%5C%7B+%7B%7Bx-6%3Dy%2B2%7D+%5Catop+%7B2%5C+%5Ctextless+%5C+x%3C8%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7By%3Dx-8%7D+%5Catop+%7B2%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+8%7D%7D+%5Cright.+)
Отрезок прямой у=х-8 проходит через точки (2,-6) и (8,0)
![2)\; \left \{ {{x-6=-y-2} \atop {2\ \textless \ x\ \textless \ 8}} \right. \; \left \{ {{y=-x+4} \atop {2\ \textless \ x\ \textless \ 8}} \right.](https://tex.z-dn.net/?f=2%29%5C%3B++%5Cleft+%5C%7B+%7B%7Bx-6%3D-y-2%7D+%5Catop+%7B2%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+8%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7By%3D-x%2B4%7D+%5Catop+%7B2%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+8%7D%7D+%5Cright.+)
Отрезок прямой у=-х+4 проходит через точки (2,2) и (8,-4).
Нарисуй эти отрезки в декартовых координатах.