Now we set the two sides equal to each other: 4х - х^2 + 12 = 14 - х^3 + 4х^2 - 4x
Rearranging and simplifying the equation: 0 = -х^3 + 4х^2 - х + 4
This is a cubic equation, which we can solve by factoring, graphing, or by using numerical methods. Hope this helps! Let me know if you need further assistance.
To solve this equation, we first need to expand both sides and then simplify the expression.
Expanding the left side:
(х+2)(6-х) = 6х - х^2 + 12 - 2х = 6х - х^2 - 2х + 12 = 4х - х^2 + 12
Expanding the right side:
14 - х(х-2)^2 = 14 - х(х^2 - 4х + 4) = 14 - х^3 + 4х^2 - 4x
Now we set the two sides equal to each other:
4х - х^2 + 12 = 14 - х^3 + 4х^2 - 4x
Rearranging and simplifying the equation:
0 = -х^3 + 4х^2 - х + 4
This is a cubic equation, which we can solve by factoring, graphing, or by using numerical methods. Hope this helps! Let me know if you need further assistance.