Both try to persuade Elizabeth to convince John to confess that he is involved in witchcraft, the difference being that Hale does it in an attempt to save John, while Danforth does it in an attempt to frame him.
Although you haven't shown it, this question is about "The Crucible." With the reading of this play, we can say that:
In this case, the two judges try to persuade Elizabeth to convince John to confess. The difference between them is that Judge Hale tells Elizabeth that he is only concerned about John's life, as he knows he is not a witch and that confession would save him from death.
Danforth, on the other hand, believes that John is involved in witchcraft and that he must make the confession to take the blame and not blame Abigail.
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