Final answer:
To solve the quadratic equation 0.28x² + 1.9x - 3.18 = 0, apply the quadratic formula with a = 0.28, b = 1.9, and c = -3.18, then round the solutions to the nearest thousandth.
Step-by-step explanation:
The equation given is a quadratic equation of the form ax² + bx + c = 0. To find the solutions for x, we use the quadratic formula, x = (-b ± √(b² - 4ac)) / (2a). Plugging in the values a = 0.28, b = 1.9, and c = -3.18 into the quadratic formula, we can calculate the solutions for x. After applying the formula, we should round the solutions to the nearest thousandth as requested.
For this quadratic equation, first calculate the determinant (b² - 4ac), then find the two possible values for x by solving x = (-1.9 ± √(1.9² - 4 × 0.28 × -3.18)) / (2 × 0.28). Remember to round the final answers to three decimal places as the question specifies.