** Hour 21**

** Square Roots: Simplifying and Solving Equations**

**A**s you begin this fourth and final part of studying algebra, it’s appropriate that you’ll be learning about quadratic equations. The word *quadratic* is based on *quadratum,* the Latin word for “square,” a shape with four equal sides. If the length of each side is *x*, the area is *x* times *x, x*^{2}, or “*x* squared.” The tie-in is that every quadratic equation has a variable—typically an *x*—that is squared, and there are several ways to find the solution. You will also see the connection between algebra and the real world in formulas from research, finance, and geometric shapes. Focusing briefly on a square shape, the length of each side of that square, and the square’s area leads to the main topic ...