In this section and in Section 1.3, we solved quadratic

Chapter 2, Problem 68

(choose chapter or problem)

In this section and in Section 1.3, we solved quadratic equations by factoring and by using the quadratic formula. This exercise shows how to solve a quadratic equation by the method of substitution. As an example, we use the equation (1) (a) In equation (1), make the substitution x y k. Show that the resulting equation can be written (2) (b) Find a value for k so that the coefficient of y in equation (2) is 0. Then, using this value of k, show that equation (2) becomes y2 5/4. y2 12k 12y 1 k k2 x2 x 1 0 1x p2 1x q2 r2 1p q2 ax2 bx a 0 1a 02 (c) Solve the equation y2 5/4. Then use the equation x y k to obtain the solutions of equation (1). 69. Use the