Final answer:
The student's question pertains to solving quadratic equations by using the quadratic formula, which requires identifying the coefficients a, b, and c and plugging them into the formula. In some cases, simplifying the equation by neglecting smaller terms can aid in finding the solution.
Step-by-step explanation:
The student's question deals with manipulating and solving polynomial and quadratic equations. The typical form of a quadratic equation is ax² + bx + c = 0. To solve for the variable, you can use the quadratic formula, which is derived by completing the square and is given by √x = (-b ± √(b² - 4ac))/(2a). When working with quadratic expressions where a simplification is noted, such as approximating the equation by neglecting a term that is considerably smaller in comparison to others, the solution process involves substituting the constants into the formula and solving for the variable.
For example, when solving the equation x² +0.0211x - 0.0211 = 0, you would identify a=1, b=0.0211, and c=-0.0211 and plug these into the quadratic formula to find the value of x. When the equation involves a term that can be neglected due to its relative size, such as in the expression x² 2.00 - x, the simplification step can make solving the equation more straightforward.