Answer:

Explanation:
We need to find an equation that has the solutions x=(5±2√7)/3
We know that for a polynomial of the type ax^2 + bx + c = 0, the solution to that polynomial is given by the quadratic formula:

In this case, we know that:
-b = 5 → b = -5
2a = 3 → a=3/2
b^2-4ac = 28 → (-5)^2-4(3/2)c = 28 → 25 - 6c = 28 → -6c = 3 → c= -1/2.
Therefore, the equation is:

