а) 2x(3x - 1)>4x² + 5x +9
Решение:
6x² - 4x² - 2x - 5x - 9>0
2x² - 7x - 9>0
2x² - 7x - 9=0
D=(-7)² - 4*2*(-9)= 49+72=121. D>0
=
![x_{2}=\frac{7-11}{4}=-1 x_{2}=\frac{7-11}{4}=-1](https://tex.z-dn.net/?f=x_%7B2%7D%3D%5Cfrac%7B7-11%7D%7B4%7D%3D-1)
б) (5x +7)(x-2)<21x²-11x-13<br> Решение:
5x²-10x+7x-14<21x²-11x-13<br> 21x²-5x²-11x+10x - 7x - 13 + 14<0<br> 16x²-8x+1<0</p>
16x²-8x+1=0
D=-(-8)²-4*16*1=64-64=0
![x_{1,2}=\frac{-(-8)}2*16}=\frac{8}{32}=0.25 x_{1,2}=\frac{-(-8)}2*16}=\frac{8}{32}=0.25](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cfrac%7B-%28-8%29%7D2%2A16%7D%3D%5Cfrac%7B8%7D%7B32%7D%3D0.25)