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COMEDK2019MathematicsBasics of Mathematics

- If p and q are prime numbers satisfying the condition p²-2 q²=1 , then the value of p²+2 q² is

Options

  1. A5
  2. B15
  3. C16
  4. D17

Correct answer

D. 17

Step-by-step solution

We have, p²-2 q²=1 Let p=3, q=2 array ll Then, & p²-2 q² & =(3)²-2(2)²=9-8=1 & p²-2 q²=1 array Now, p²+2 q²=(3)²+2(2)² =9+8=17

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