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If p and q are the roots of the equation x^2-30 x+221=0 , what is the value of p^3+q^3 ?

Options

  1. A7010
  2. B7110
  3. C7210
  4. D7240

Correct answer

B. 7110

Step-by-step solution

aligned & x^2-30 x+221=0 & x^2-13 x-17 x+17 13=0 & (x-13)(x-17)=0 & p=13, q=17 & p^3+q^3=2197+4913 & =7110 aligned

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