In the method for finding roots of a quadratic equation, what is the form of the equation used?

• A. r + x = 0
• B. r² + r + x = 0
• C. r² - r - x = 0
• D. r² + x = 0

Answer: (B)

The correct answer is based on the standard form of a quadratic equation, which is represented as ax² + bx + c = 0. In this context, the quadratic equation is specifically restructured as r² + r + x = 0.

In this case, r represents the variable for which we are finding the roots, and the coefficients of the equation are laid out as follows:

• The term r² corresponds to the quadratic component and provides the second-degree characteristic of the polynomial.

• The term r indicates the linear component of the equation, where the coefficient of r is 1.

• The term x stands for the constant term in the equation.

The roots of the quadratic equation can be found using various methods such as factoring, completing the square, or the quadratic formula. The structure provided in the answer highlights the specific arrangement needed to apply these methods effectively.

This form captures all essential elements required to solve for the variable and aligns with the quadratic formula methodologies taught in algebra, making it suitable for root-finding processes in quadratic functions.