Final answer:
To solve the given quadratic equation, we use the quadratic formula with the given coefficients. Two solutions will be found, but context may require discarding an impossible negative value, likely due to a situation like chemical concentrations.
Step-by-step explanation:
The student is asking to solve a quadratic equation of the form ax² + bx + c = 0. This requires finding the values of x that satisfies the equation. Since it was mentioned that some values make no physical sense and should be discarded, this often refers to scenarios in which certain quantities, like concentrations in a chemical solution, cannot be negative.
To solve the quadratic equation 2x² + 1.2 x 10⁻²x - 6.0 × 10⁻³ = 0, we use the quadratic formula x = −b ± √(b² − 4ac) ÷ 2a. For this equation, a = 1, b = 1.2 × 10⁻², and c = −6.0 × 10⁻³. When we substitute these values into the formula, we can find the two possible solutions for x. After calculating, we may find two values for x, but we must consider the context to determine which value is physically possible. A negative value for concentration, for instance, would be discarded, leaving the positive value as the correct solution.