Final answer:
The equation that can be solved using the expression -3 ± √(3)^24(10)(2)^2(10) for x is 3x^2 + 13x - 10 = 0.
Step-by-step explanation:
The expression -3 ± √(3)^2 - 4(10)(2)^2(10) for x relates to the quadratic formula, which is used to solve quadratic equations of the form ax^2 + bx + c = 0. By comparing the provided expression to the quadratic formula, we can deduce that the coefficients of the quadratic equation are a = 3, b = 13, and c = -10. Plugging these values into the quadratic formula, we get x = (-b ± √(b^2 - 4ac)) / (2a), which simplifies to x = (-13 ± √(13^2 - 4 × 3 × (-10))) / (6).
The equation that can be solved using this expression is therefore 3x^2 + 13x - 10 = 0.