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If α and β are the roots of the equation 8 x 2 - 3 x + 27 = 0 , then the value of α 2 β 1 3 + β 2 α 1 3 is

Options

  1. A1 3
  2. B1 4
  3. C1 5
  4. D1 6

Correct answer

B. 1 4

Step-by-step solution

α + β = 3 8 , α β = 27 8 α 2 β 1 3 + β 2 α 1 3 = α 3 1 3 + β 3 1 3 α β 1 3 α + β α β 1 3 = 3 8 27 8 1 3 = 3 8 3 2 = 1 4

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