3 27 3 1 3 27 0 3 1 0 Factor difference of cubes 3 2 3 9 0 12 1 0 2 3 9 0 2 1 0

# 3 27 3 1 3 27 0 3 1 0 factor difference of cubes 3 2

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3 = 27 ? 3 = −1 ? 3 − 27 = 0 ? 3 + 1 = 0 Factor difference of cubes (? − 3)(? 2 + 3? + 9) = 0 (? + 1)(? 2 − ? + 1) = 0 ? = ? ? 2 + 3? + 9 = 0 ? = −? ? 2 − ? + 1 = 0 Use quadratic formula to finish it up. ? = −3 ± √3 2 − 4 ⋅ 1 ⋅ 9 2 ? = 1 ± √(−1) 2 − 4 ⋅ 1 ⋅ 1 2 ? = −? ± ??√? ? ? = ? ± ?√? ?
208 Section 8-4 Section 8-4 Exercises Solve. 1. (5? + 7)2+ 4(5? + 7) − 5 = 02. ? + 7√?− 8 = 0 3. ?23− 4?13− 21 = 04. (3? − 6)2+ 15(3? − 6) + 56 = 0 5. ?4+ 5?2− 36 = 06. ? − 7√?− 18 = 0 7. ?23+ 6?13− 16 = 08. ?4+ 5?2− 14 = 0Tough one. Use factoring and the quadratic formula to find all six answers. 9. ?6− 7?3− 8 = 0
1. ? = −125, −65 2. ? = 1 3. ? = 343, −27 4. ? = − 1 3 , − 2 3 5. ? = 3?, −3?, 2, −2 6. ? = 81 7. ? = −512, 8 8. ? = ?√7, −?√7, √2, −√2 9. ? = 2, − 1 + ?√3, − 1 − ?√3, −1, 12+ ?√32, 12− ?√32
1. (? + 5)2+ (? − 4)2= 812. (? − 3)2+ (? + 5)2= 16 3. ?2+ ?2− 6? + 8? = 114. ?2+ ?2+ 14? = 5 5. ?????? (−2,4); ?????? = 76. ?????? (3, −1); ?????? = 5 7. ?????? (−2,3); ?????? ?ℎ????ℎ (1, −4)8. ????????? ?? ???????? (2, −11), (14,5) 9. ?2 10. (?−1)2 11. 49?2− 294? + 625?2+ 2500? = 27684 12. ? 2 576 ? 2 49 = 1 13. (?−2) 2 25 (?+6) 2 144 = 1 14. 16?2+ 128? − 9?2− 90? = 113 15. ? − ?2− 7? = 1016. 5?2+ ?2− 4? = 2117. ?2− 7?2+ 6? = 2

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