![\left \{ {{y=4x-1} \atop {y=4x-2}} \right. \\\\4x-1=4x-2\\-1=-2](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7By%3D4x-1%7D%20%5Catop%20%7By%3D4x-2%7D%7D%20%5Cright.%20%5C%5C%5C%5C4x-1%3D4x-2%5C%5C-1%3D-2)
не тождество, значит система не имеет решений ⇒ нет точки пересечения двух графиков ф-ций
![\left \{ {{y=3x+2} \atop {y=-x+2}} \right. \\\\3x+2=-x+2\\4x=0\\x=0\\y=3\cdot 0+2=2\\](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7By%3D3x%2B2%7D%20%5Catop%20%7By%3D-x%2B2%7D%7D%20%5Cright.%20%5C%5C%5C%5C3x%2B2%3D-x%2B2%5C%5C4x%3D0%5C%5Cx%3D0%5C%5Cy%3D3%5Ccdot%200%2B2%3D2%5C%5C)
Точка пересечения двух графиков (0,2)
а) (p-9)(p+9)
б)![-1.21a^{2} + (-1.21b^{2} )= -1.21a^{2} - 1.21b^{2} = (-1.21a - 1.21b)(-1.21a+1.21b)](https://tex.z-dn.net/?f=-1.21a%5E%7B2%7D%20%2B%20%28-1.21b%5E%7B2%7D%20%29%3D%20-1.21a%5E%7B2%7D%20-%201.21b%5E%7B2%7D%20%3D%20%28-1.21a%20-%201.21b%29%28-1.21a%2B1.21b%29)
в)49 -(4 + x² -4x) = 49 - 4 - x² + 4x= 45 - x² + 4x
{0=2k+b
{-4=0+b⇒b=-4
0=2k-4
2k=4
k=2
{ x-y=1 {x=1+y
{ x²+2y=33 {(1+y)²+2y=33
(1+y)²+2y=33
1+2x+y²+2y-33=0
y²+4y-32=0
y₁+y₂=-4 -8+4=-4 y₁=-8
y₁*y₂=-32 -8*4=-32 y₂=4
1) x₁=1+(-8)=1-8=-7
2) x₂=1+4=5
{x₁=-7
{y₁=-8
{x₂=5
{y₂=4