Answer:
i) (0, 2) and (1, 2), ii) (0.333, 1.333) and (1, 2).
Step-by-step explanation:
i) Let be
, if
, which is equivalent to the following system of equations:
![y = 3\cdot x^{2}-3\cdot x +2](https://tex.z-dn.net/?f=y%20%3D%203%5Ccdot%20x%5E%7B2%7D-3%5Ccdot%20x%20%2B2)
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0, 2) and (1, 2)
ii) Let be
, if
, which is equivalent to the following system of equations:
![y = 3\cdot x^{2}-3\cdot x +2](https://tex.z-dn.net/?f=y%20%3D%203%5Ccdot%20x%5E%7B2%7D-3%5Ccdot%20x%20%2B2)
![y = x+1](https://tex.z-dn.net/?f=y%20%3D%20x%2B1)
Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0.333, 1.333) and (1, 2)