What two numbers multiply to 36 and add up to -37?

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

How many solutions does the nonlinear system of equations graphed bellow have?

With number 11 ( show how you got the answer)