Question

What are the solutions to the following system of equations?

y = x2 + 12x + 30
8x – y = 10

Answer 1

we are given with two solutions: y = x2 + 12x + 30 and 8x – y = 10 and is asked to determinte the solutions of the system of equations. We get y in the second eqn which is equal to 8x -10. we substitute this to first eqn resulting to
8x-10 = x^2 + 12 x + 30. this is a second order equation. x is equal to -2 + 6i and -2 - 6i.