Healthy relationships are based upon a deep rooted conviction in equality.

良好的人际关系是以深深植根的平等理念为基础的。

It could evolve from a negative statement aimed at you, or even a deep rooted belief you had since you can remember.

一个指向你的消极言论，或者一种从你有记忆以来就根深蒂固的信念。

Is it their opinions, is it their conclusions, their concepts, their ideals, their tremendous deep rooted prejudices?

不就是他们的看法，他们的结论，他们的概念，他们的理想，他们巨大的根深蒂固的偏见吗？

There was a deep-rooted racial prejudice long before the two countries went to war.

早在两国交战之前就有了根深蒂固的种族偏见。