If a and b are the roots of the equation x^2-7x-1=0, then the value of a^ 21 +b^ 21 +a^ 17 +b^ 17 a^ 19 +b^...

Question

If a and b are the roots of the equation x^2-7x-1=0, then the value of a^ 21 +b^ 21 +a^ 17 +b^ 17 a^ 19 +b^ 19 is equal to _________.

Accepted Answer

51

JEE Main 2023 Mathematics question