# #### Quadratic Formula

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## 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… 