Finding Minimum Value of Quadratic Function

Consider a function defined as follows: $$f(x) = 2x^2 - 3x + 5$$. Determine the value of $$x$$ for which the function $$f(x)$$ reaches its minimum value.

To find the minimum value of a quadratic function of the form $$ax^2 + bx + c$$, you can use the vertex formula $$x = -\f\frac{b}{2a}$$, where $$a$$ and $$b$$ are the coefficients of the quadratic equation.