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4 years ago

Find all real and imaginary zeros 1.) 343x^3-8=0 2.) 64x^3=0

1 answer:

6 0

1. 343x³ - 8 = 0
343x³ + 98x² - 98x² + 28x - 28x - 8 = 0
343x³ + 98x² + 28x - 98x² - 28x - 8 = 0
  7x(49x²) + 7x(14x) + 7x(4) - 2(49x²) - 2(14x) - 2(4) = 0
7x(49x² + 14x + 4) - 2(49x² + 14x + 4) = 0
  (7x - 2)(49x² + 14x + 4) = 0
  7x - 2 = 0 or 49x² + 14x + 4 = 0
+ 2 + 2 x = -(14) ± √((14)² - 4(49)(4))
7x = 2   2(49)
7   7 x = -14 ± √(196 - 784)
x = ²/₇   98
x = -14 ± √(-588)
-98
x = -14 ± 14i√(3)
-98
x = -14 + 14i√(3) or x = -14 - 14i√(3)
-98 -98
x = ¹/₇ - ¹/₇i√(3) or x = ¹/₇ + ¹/₇√(3)
x = ¹/₇ ± ¹/₇i√(3)
Solution Set: {¹/₇ ± ¹/₇i√(3), ²/₇}

2. 64x³ = 0
64 64
x³ = 0
∛(x³) = ∛(0)
x = 0
Solution Set: {0}

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Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

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0.0665 = 6.65% probability that the call center will get between 4,800 and 5,000 calls in a day.

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