The phrase "able to discover that" is correct and usable in written English.
It can be used when indicating the capability to find out or learn something specific.
Example: "After extensive research, the scientists were able to discover that the new drug had significant effects on the disease."
Alternatives: "capable of finding out that" or "able to ascertain that".
By cross-checking other passwords the banker had used elsewhere, however, investigators were able to discover that the drive was opened by the password "Lamborghini55".
Using samples taken at the time, scientists were able to discover that only 10 virus particles needed to be ingested to cause infection.
But by cross-checking other passwords the banker had used elsewhere, investigators were able to discover that the drive was opened by the password "Lamborghini55".
Using a freedom of information request, the Guardian was able to discover that unpaid jobseekers were being used by businesses to clean private homes.
By studying her bones, in particular the structure of her knee and spine curvature, scientists were able to discover that she spent most of her time walking on two legs - a striking human-like trait.
In this way the beings will be able to discover that the surface inside L is not flat: their world contains an extra dimension that they cannot experience directly themselves.
It turns out that, with a language, jugglers have been able to discover tricks that had eluded them for thousands of years.
As the computer amassed the information, it was able to discover relationships that were of great significance to almost all faces, but very few nonfaces.
But other mathematicians see a major boon: just as the computers of today can beat the grand masters of chess, the computers of tomorrow may be able to discover proofs that have eluded the grandest of mathematicians.
With a photometric precision of 20 parts per million, Kepler is able to discover planets that are the same size as the rocky, inner orbs of our own solar system.
We were able to discover peptide sequences that inhibit COM crystallization more effectively than some of the well-known COM inhibitors, such as citrate.
