**solve x^500 - x + 0.4 = 0 ****|** plot x^500 - x + 0.4

"solve" does not always provide the solutions.** What to do?**

I only know that the solutions are about 0.4 and 1

We look for the two solutions with better precision.

**
plot x^500 - x + 0.4, 0.39 < x < 0.41**

**
...**

**
plot x^500 - x + 0.4, 0.399996 < x < 0.400004**

**
fisrt solution: 4.0000000**

**min x^500 - x + 0.4**

≈ 0.98762

**plot x^500 - x + 0.4, 0.98762 < x < 1**

**...**

**
plot x^500 - x + 0.4, 0.998973 < x < 0.998977**

**
second solution: 0.998975**