8х²-12х+36=0
D=(-(-12))²-4×8×36=144-1152=-1008
D<0, решения нет.
3х²+32+80=0
3x²+112=0|÷3
x²+37,33=0
x²=-37,33 Решения нет, так как любое число в квадрате не может быть отрицательным.
3х²+32х+80=0
D=(-32)²-4×3×80=1024-960=64
x1=(-32-√64)/2×3=(-32-8)/6=-40/6=-6(4/6)=-6(2/3)
x2=(-32+√64)/2×3=(-32+8)/6=-24/6=-4.
-х²-6х+19=0
D=(-(-6))²-4×(-1)×19=36+76=112
x1=(-(-6)-√112)/2×(-1)=(6-10,58)/(-2)=(-4,58)/(-2)=2,29
x2=(-(-6)+√112)/2×(-1)=(6+10,58)/(-2)=16,58/(-2)=-8,29
х²-34х+289=0
x²-2×17×x+17²=0
(x-17)²=0
x-17=0
x=17.
Решение на фото...........................
1 способ решения:
![2sin(2x-4 \pi )= \sqrt{3} \\ \\ sin(2x-4 \pi )= \frac{\sqrt{3}}{2} \\ \\ 2x-4 \pi =(-1)^n* \frac{ \pi }{3}+ \pi n \\ 2x=(-1)^n* \frac{ \pi }{3}+ \pi n+4 \pi \\ \\ x=(-1)^n* \frac{ \pi }{6}+ \frac{ \pi n }{2}+2 \pi =(-1)^n* \frac{ \pi }{6} + \frac{ \pi n }{2} \\ \\ OTBET: (-1)^n* \frac{ \pi }{6} + \frac{ \pi n }{2} , \ n \in Z](https://tex.z-dn.net/?f=2sin%282x-4+%5Cpi+%29%3D+%5Csqrt%7B3%7D++%5C%5C++%5C%5C+sin%282x-4+%5Cpi+%29%3D++%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D+%5C%5C++%5C%5C+2x-4+%5Cpi+%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B3%7D%2B+%5Cpi+n++%5C%5C+2x%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B3%7D%2B+%5Cpi+n%2B4+%5Cpi+++%5C%5C++%5C%5C+x%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B6%7D%2B+%5Cfrac%7B++%5Cpi+n+%7D%7B2%7D%2B2+%5Cpi++%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%2B+%5Cfrac%7B++%5Cpi+n+%7D%7B2%7D++%5C%5C++%5C%5C+OTBET%3A+%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%2B+%5Cfrac%7B++%5Cpi+n+%7D%7B2%7D+%2C+%5C+n+%5Cin+Z)
2 способ решения: (по формулам приведения sin(α-4π)=sinα)
![2sin(2x-4 \pi )= \sqrt{3} \\ 2sin2x= \sqrt{3} \\ \\ sin2x= \frac{ \sqrt{3} }{2} \\ \\ 2x=(-1)^n* \frac{ \pi }{3} + \pi n \\ \\ x=(-1)^n* \frac{ \pi }{6} + \frac{ \pi n}{2} \\ \\ OTBET: \ (-1)^n* \frac{ \pi }{6} + \frac{ \pi n }{2} , \ n \in Z](https://tex.z-dn.net/?f=2sin%282x-4+%5Cpi+%29%3D+%5Csqrt%7B3%7D++%5C%5C+2sin2x%3D+%5Csqrt%7B3%7D+%5C%5C++%5C%5C+sin2x%3D++%5Cfrac%7B+%5Csqrt%7B3%7D+%7D%7B2%7D++%5C%5C++%5C%5C+2x%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B3%7D+%2B+%5Cpi+n+%5C%5C++%5C%5C+x%3D%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%2B+%5Cfrac%7B+%5Cpi+n%7D%7B2%7D+%5C%5C+%5C%5C+OTBET%3A+%5C+%28-1%29%5En%2A+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%2B+%5Cfrac%7B+%5Cpi+n+%7D%7B2%7D+%2C+%5C+n+%5Cin+Z)
1:1вот ответ
промежуток проезведения 5-4=1+1