To solve the two sets of equations simultaneously, subtract one equation from the other to obtain
3x^5 + 2x^2 - 10x + 4 - (4x^4 + 6x^3 - 11) = 0
3x^5 - 4x^4 - 6x^3 + 2x^2 - 10x - 7 = 0
This is a polynomial of degree 5 to be solved for zeros.
A graphing calculator will yield 3 real zeros (verifiable by Descartes Rule of Signs).
