作业帮解不等式[2x³(x+3)-x²]÷2x²＜-x(3-x)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/12 01:18:17
![解不等式[2x³(x+3)-x²]÷2x²＜-x(3-x)](/uploads/image/z/1024604-44-4.jpg?t=%E8%A7%A3%E4%B8%8D%E7%AD%89%E5%BC%8F%5B2x%26%23179%3B%28x%2B3%29-x%26%23178%3B%5D%C3%B72x%26%23178%3B%EF%BC%9C-x%283-x%29)
解不等式[2x³(x+3)-x²]÷2x²＜-x(3-x)
解不等式[2x³(x+3)-x²]÷2x²＜-x(3-x)
解不等式[2x³(x+3)-x²]÷2x²＜-x(3-x)
[2x³(x+3)-x²]÷2x²＜-x(3-x)
∵2x²＞0
∴x(x+3)-x²＜-3x+x²
x²+3x-x²+3x-x²＜0
-x²+6x＜0
-x(x-6)＜0
x(x-6)＞0
x＞0且x＞6
∴x＞6