Final answer:
The converse of the statement "If x = 2, then x² - 4 = 0" is "If x² - 4 = 0, then x = 2," but this converse is not true because x can also be -2. To solve for x in a quadratic equation ax² + bx + c = 0, use the quadratic formula.
Step-by-step explanation:
The converse of a statement switches the hypothesis and conclusion of the original statement. Given the original statement "If x = 2, then x² - 4 = 0," the converse would be "If x² - 4 = 0, then x = 2." However, the converse is not necessarily true in all cases, because when x² - 4 = 0 is true, x can be either 2 or -2. Both values satisfy the equation since (2)² - 4 = 0 and (-2)² - 4 = 0.
To find the roots of a quadratic equation in the form ax² + bx + c = 0, one can use the quadratic formula x = (-b ± √(b² - 4ac)) / (2a), as recommended in Appendix B.