Chapter 5: Exercises with Solutions

Chapter 5Quadratic Functions7. The equation x 2 = −12 no real solutions. It is not possible to square a real numberand get −12. The fact that √ −12 is not a real number is supported by the followingcalculator results (provided you have REAL selected in the MODE menu).(a)(b)In similar fashion, − √ −12 is not a real number.(c)(d)9. If (x − 1) 2 = 25, then there are two possibilities for x − 1, namelyx − 1 = ± √ 25.To solve for x, add 1 to both sides of this last equation.x = 1 ± √ 25x = 1 ± 5.So the solutions are 1 + 5 = 6 and 1 − 5 = −4. These can also be computed on yourcalculator.(a)(b)Version: Fall 2007