Final answer:
The rational-root theorem is used to find the roots of polynomial equations. To solve a quadratic equation like ax² + bx + c = 0, the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) can be used, which finds the values of x that satisfy the equation.
Step-by-step explanation:
However, due to a typo in the question, we will address the concept of solving quadratic equations in general using the quadratic formula which is applicable for any quadratic equation of the form ax² + bx + c = 0. To solve a quadratic equation, one can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). This formula calculates the roots of the equation by considering the coefficients a, b, and c from the quadratic equation. For example, if we have the equation x² + 1.2 x 10^-2x - 6.0 × 10^-3 = 0, we would identify a = 1, b = 1.2 × 10^-2, and c = -6.0 × 10^-3. Plugging these into the quadratic formula, we could solve for the values of x that satisfy the equation.