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PLEASE HELP!

Find the real or imaginary solutions of the following equation by factoring.

y^3 + 27 = 0

User Kyudos
by
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2 Answers

6 votes

Answer:

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Explanation:

User Blankmaker
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6.8k points
0 votes

Answer:

  1. -3
  2. 1.5(1 + i√3)
  3. 1.5(1 - i√3)

Explanation:

  • y³ + 27 = 0
  • (y + 3)(y² - 3y + 9) = 0

1. y + 3 = 0 ⇒

  • y = -3

2. y² - 3y + 9 = 0

  • y = (3 ±√(3² -4*9))/2
  • y = (3 ± √-27)/2
  • y = (3 ± i√27)/2
  • y = 3/2(1 ± i√3)
  • y = 1.5(1 ± i√3)
User Joanne Demmler
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