解方程4(x-3)²-(2x+1)²=(3x+1)(1-3x)²

2024-12-15 18:08:11
推荐回答(1个)
回答1:

解:(先有技巧地拆项,去括号,然后解三次方程)
(2x-6)^2 - (2x+1)^2 = (9x^2 - 1) (3x+1)
(4x-5)*(-7) = 27x^3 - 3x +9x^2 - 1
-28x+32=27x^3 +9x^2 -3x-1
27x^3 +9x^2+25x -33=0
解得x=0.72