Final answer:
The values of b and c in the equation x² + bx + c = 0, where c is not equal to 0, are b = -1 and c = 1.
Step-by-step explanation:
To find the values of b and c in the equation x² + bx + c = 0, where c is not equal to 0, we need to work with the coefficients and roots of the quadratic equation. In this case, the roots are also b and c.
We know that the sum of roots in a quadratic equation is equal to the negative coefficient of x and the product of roots is equal to the constant term.
Therefore, b = -1 and c = 1.