Chapter 5: Exercises with Solutions

Section 5.4The Quadratic Formula5.4 Solutions1. Because 6 2 = 36 and (−6) 2 = 36, the equation x 2 = 36 has two solutions, x = ±6.Take these square roots on your calculator as shown in (a) and (b).(a)(b)3. The equation x 2 = 17 has two solutions, x = ± √ 17, since ( √ 17) 2 = 17 and(− √ 17) 2 = 17. Approximate these square roots on your calculator as shown in (a) and(b).(a)(b)5. The solutions of the equation x 2 = 0 are x = ± √ 0, but √ 0 = 0, so we have x = ±0.However, 0 is the same as −0, so really there is only one solution, x = 0. This singlesolution is also supported by the calculator screens (a) and (b).(a)(b)Version: Fall 2007