АВ=√(33²+(√355)²)=√(1089+355)=√1444=38
R(опис)=AB/2 = 38/2 =19
R(впис)=(AC+BC-AB)/2=(33+√355 -38)/2=(√355 - 5)/2
7y-x=-3
y²-yx+x²=9
x=7y+3
y²-7y²-3y+49y²+42y+9=9
43y²+39y=0
y(43y+39)=0
y₁=0 y₂=-39/43
<span>log4(7-x)^2 + log4(x+9)^2=4+log4(x+9)^2
</span><span>log4(7-x)^2 + log4(x+9)^2=log4 256+log4(x+9)^2
</span>2log4 (7-x) + 2log4 (x+9) = 2log4 16 + 2log4 (x+9) |:2
log4 (7-x)(x+9) = log4 16(x+9)
<span>(7-x)(x+9) = 16(x+9)
</span><span>(7-x)(x+9) - 16(x+9) = 0
</span>(x + 9) (7 - x - 16) = 0
x + 9 = 0 или - 9 - x = 0
x = -9 x = -9
Ответ -9
Если знаменатель не равно нулю, т.е.
![x+7\ne 0\\ x\ne-7](https://tex.z-dn.net/?f=x%2B7%5Cne+0%5C%5C+x%5Cne-7)
Область определения:
![D(y)=(-\infty;-7)\cup(-7;+\infty)](https://tex.z-dn.net/?f=D%28y%29%3D%28-%5Cinfty%3B-7%29%5Ccup%28-7%3B%2B%5Cinfty%29)