Algebraic Structure of the Quadratic Formula
The quadratic formula is an equation with two expressions.
The expression on the left side of the equal sign (\(x\)) is a variable.
The expression on the right side of the equal sign (\(\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\)) is a quotient.
The dividend of the quotient (\(-b\pm\sqrt{b^{2}-4ac}\)) is a sum (or difference) of a variable (\(-b\)) and a root (\(\sqrt{b^{2}-4ac}\)).
The divisor of the quotient (\(2a\)) is the product of a number (\(2\)) and a variable (\(a\)).
The argument of the root (\(b^{2}-4ac\)) is a difference.
The subtrahend of the difference (\(b^{2}\)) is a power with a variable (\(b\)) in the base and a number (\(2\)) in the exponent.
The minuend of the difference (\(4ac\)) is the product of a number (\(4\)) and two variables (\(a\) and \(c\)) .
So, the overall structure of the quadratic formula is…
