The document discusses solving quadratic equations by factoring and using the zero product rule. It provides an example of solving the equation 6x^2 = x + 1 by writing it in the form ax^2 + bx + c = 0, factoring completely into (3x + 1)(2x - 1) = 0, setting each factor equal to 0 to get x = -1/3 or x = 1/2, and checking the solutions in the original equation. More practice problems on applications of quadratic equations are mentioned.

1. Solving Equations by using the Zero Product Rule 5.7 SSC 105

6. More practice

7. Applications of Quadratic Equations A region of coastline off Biscayne Bay is approximately in the shape of a right angle. The corresponding triangular area has sandbars and is marked off on navigational charts as being shallow water. If one leg of the triangle is 0.5 mi shorter than the other leg, and the hypotenuse is 2.5 mi, find the lengths of the legs of the triangle (Figure 5-6).

8. Solve One leg of the triangle is 2 miles the other is 1.5 miles.