YOU TRY 7 Solve by completing the square. a) q2 10q 24 0 b) 2m2 16 10m ANSWERS TO YOU TRY EXERCISES 1) a) {10, 10} b) {412, 412} c) {2i, 2i} 2) {15, 3} 3) a) e1, 5 7 f b) e 3 216 5 , 3 216 5 f c) {7 10i, 7 10i} d) e 3 2 312 2 i, 3 2 312 2 i f 4) 161 5) a) w2 2w 1; (w 1)2 b) z2 16z 64; (z 8)2 6) p2 3p 9 4 ; ap 3 2 b 2 7) a) {12, 2} b) e 5 2 17 2 i, 5 2 17 2 i f 10.1 Exercises Do the exercises, and check your work. Objective 1: Solve an Equation of the Form x2 k 1) Choose two methods to solve y2 16 0. Solve the equation using both methods. 2) If k is a negative number and x2 k, what can you conclude about the solution to the equation? Solve using the square root property. 3) b2 36 4) h2 64 5) r2 27 0 6) a2 30 0 7) n2 4 9 8) v2 121 16 9) q2 4 10) w2 121 11) z2 3 0 12) h2 14 23 13) z2 5 19 14) q2 3 15 15) 4m2 1 37 16) 2d2 5 55 17) 5f 2 39 21 18) 2y2 56 0 Objective 2: Solve an Equation of the Form (ax b)2 k Solve using the square root property. 19) (r 10)2 4 20) (x 5)2 81 21) (q 7)2 1 22) (c 12)2 25 23) (p 4)2 18 0 24) (d 2)2 7 13 25) (c 3)2 4 29 26) (u 15)2 4 8 27) 1 15 (k 2)2 28) 2 14 (g 4)2 29) 20 (2w 1)2 30) (5b 6)2 11 31) 8 (3q 10)2 6 32) 22 (6x 11)2 4 33) 36 (4p 5)2 6 34) (3k 1)2 20 4 35) (6g 11)2 50 1 36) 9 38 (9s 4)2 37) a3 4 n 8b 2 4 38) a2 3 j 10b 2 16 39) (5y 2)2 6 22 40) 6 3 (2q 9)2 Objective 3: Use the Distance Formula Find the distance between the given points. 41) (7, 1) and (3, 2) 42) (3, 10) and (12, 6) 43) (5, 6) and (2, 8) 44) (5, 2) and (3, 4) 45) (0, 3) and (3, 1) 46) (8, 3) and (2, 1) 47) (4, 11) and (2, 6) 48) (0, 13) and (0, 7) 49) (3, 3) and (5, 7) 50) (5, 6) and (1, 2) Objective 4: Complete the Square for an Expression of the Form x2 bx 51) What is a perfect square trinomial? Give an example. 52) Can you complete the square on 3y2 15y as it is given? Why or why not? www.mhhe.com/messersmith SECTION 10.1 The Square Root Property and Completing the Square 621
messersmith_power_intermediate_algebra_1e_ch4_7_10
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