Final answer:
The student's question involves solving a quadratic equation derived from the square of a binomial. The equation is put in the standard form, and the quadratic formula is used to find the possible values of x.
Simplifications may be applied based on specific context such as weak acid ionization levels.
Step-by-step explanation:
The question pertains to solving a quadratic equation related to the square of a binomial expression. One of the parts of the question shows the transformation of the square of the exponential binomial to a quadratic equation in the standard form ax² + bx + c = 0.
The use of the quadratic formula is suggested in the given information, which allows for the calculation of the variable x. It's important to note that certain approximations may be made due to the inherent properties of the equations, such as ionization levels in weak acids or the degree of polynomial simplification.
Let's take the example given: When squaring a binomial like (2x)², you end up with 4x². If we consider the equation given in the information, it was simplified to x² + 0.00088x - 0.000484 = 0. Solving this with the quadratic formula provides the two possible values of x.
For the correct value of x, all steps in solving quadratic equations must be followed, which may involve squaring terms, rearranging into a quadratic equation, and solving either by factorization, the quadratic formula, or graphical methods.