(2a+b+c)²-(a-2b+c)²-3a²-3b²+8ab+2ac+6bc=
=((2a+b+c)+(a-2b+c))(2a+b+c)-(a-2b+c))-3a²-3b²+8ab+2ac+6bc=
=(2a+b+c+a-2b+c)(2a+b+c-a+2b-c)-3a²-3b²+8ab+2ac+6bc=
=(3a-b+2c)(a+3b)-3a²-3b²+8ab+2ac+6bc=
=3a²+9ab-ab-3b²+2ac+6bc-3a²-3b²+8ab+2ac+6bc=
=16ab-6b²+4ac+12bc
![( \frac{x+y}{2} )^2-( \frac{x-y}{2} )^2-xy=](https://tex.z-dn.net/?f=%28+%5Cfrac%7Bx%2By%7D%7B2%7D+%29%5E2-%28+%5Cfrac%7Bx-y%7D%7B2%7D+%29%5E2-xy%3D)
![=(\frac{x+y}{2} +\frac{x-y}{2} )( \frac{x+y}{2} -\frac{x-y}{2} )-xy=](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7Bx%2By%7D%7B2%7D+%2B%5Cfrac%7Bx-y%7D%7B2%7D+%29%28+%5Cfrac%7Bx%2By%7D%7B2%7D+-%5Cfrac%7Bx-y%7D%7B2%7D+%29-xy%3D)
![=(\frac{x+y+x-y}{2}*\frac{x+y-x+y}{2} )-xy=\frac{2x}{2}* \frac{2y}{2} -xy=xy-xy=0](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7Bx%2By%2Bx-y%7D%7B2%7D%2A%5Cfrac%7Bx%2By-x%2By%7D%7B2%7D++%29-xy%3D%5Cfrac%7B2x%7D%7B2%7D%2A+%5Cfrac%7B2y%7D%7B2%7D++-xy%3Dxy-xy%3D0)
36^(0,5х²-1) ≥ (1/6)^-2
36^(0,5х²-1) ≥ 6²
36^(0,5х²-1) ≥ 36^1
0,5х²-1 ≥ 1
0,5х²-1-1≥0
0,5х²-2≥0
х∈(-∞;-2]∨[2;+∞)
Х+(х+42)=90
2х+ 42=90
2х=90-42
2х=48
х=24
один угол 24, второй 24+42=66(66+24= 90)
Решение во вложенном файле