8*x^2 - 8*x + 1 = 0has two real roots. Given that the 2023rd digit of one of the roots is 7, what is the 2023rd digit of the other root?
Happy new year to all readers.
Cinelli
The incorrect root (in fact a root of (8x^2 + 8x + 1 = 0)) just reverses the sign. A-B becomes B-A. The sign doesn't affect the digits. The result of subtracting it from the correct root based on the difference is no different to adding the two correct roots based on the sum.cinelli wrote:I’m glad UncleEbenezer came back with a second post because I have been scratching my head wondering how he managed to get the right answer despite not finding the roots correctly.
Not important to the form of the solution, but now we know not to trust a wordnumber you say!I chose 7 randomly – its value wasn’t important.