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

Step-by-step solution

Given, p ²-2 q ²=1 Since, and are prime numbers. Let p =3 and q =2 array lr From Eq. (i), & (3)²-2(2)²=1 & 9-8=1 & 1=1 array Therefore, our assumption is true. Now, p ²+2 q ²=(3)²+2(2)²=9+8=17