Final answer:
To solve the quadratic equation, we use the quadratic formula by inserting the given values for a, b, and c, then calculating the discriminant and subsequently the solutions.
Step-by-step explanation:
To solve the given quadratic equation x² + 1.2 \u00d7 10⁻²x - 6.0 \u00d7 10⁻³ = 0, we will apply the quadratic formula. The equation resembles the standard quadratic form ax² + bx + c = 0, where a = 1.00, b = 1.2 \u00d7 10⁻², and c = -6.0 \u00d7 10⁻³. Using the quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), we substitute in our values:
- a = 1.00
- b = 1.2 \u00d7 10⁻²
- c = -6.0 \u00d7 10⁻³
Calculate the discriminant (√(b² - 4ac)) and then use it to find the two possible values for x. These values will be the solutions to the equation, which represent the points at which the parabola described by the quadratic equation crosses the x-axis. Keep in mind to carry out these calculations using proper significant figures and scientific notation to maintain precision.