Let t not be equal to 0, and point P (T, 0) be a common point of the image of functions f (x) = x ^ 3 + ax and G (x) = BX ^ 2 + C. The images of two functions have the same tangent at point P 1. Denote a, B, C with T 2. If the function y = f (x) - G (x) monotonically decreases on (- 1,3), find the value range of T Please give us a detailed explanation,

Let t not be equal to 0, and point P (T, 0) be a common point of the image of functions f (x) = x ^ 3 + ax and G (x) = BX ^ 2 + C. The images of two functions have the same tangent at point P 1. Denote a, B, C with T 2. If the function y = f (x) - G (x) monotonically decreases on (- 1,3), find the value range of T Please give us a detailed explanation,

Since the point P (T, 0) is a common point of the image of the function f (x) = x ^ 3 + ax and G (x) = BX ^ 2 + C, then f (T) = TTT + at = 0g (T) = BTT + C = 0, and because the image of the two functions has the same tangent f '(T) = g' (T) 3tt + a = 2BT at point P, a = - TTB = TC = - ttty = f can be obtained simultaneously