Final answer:
The equation that has the solutions x = -5 +/- 2√7/3 is d) x^2 - 5x - 2√7/3 = 0.
Step-by-step explanation:
The equation that has the solutions x = -5 +/- 2√7/3 is option d) x^2 - 5x - 2√7/3 = 0.
To find this, we can compare the given solutions with the quadratic formula: x = (-b +/- √(b^2 - 4ac)) / (2a).
Comparing the solutions x = -5 +/- 2√7/3 with the quadratic formula, we can see that a = 1, b = -5, and c = 2√7/3. Plugging in these values, we get the equation x^2 - 5x - 2√7/3 = 0. Therefore, the correct option is d).