Question

If p + q = 32 and pq = 52, then find p²+q²​

Answer 1

Step-by-step explanation:

p+q = 32

On squaring both LHS and RHS,

(p+q)² = 32²

p² + q² + 2pq = 1024

=> p² + q² + 2 (52) = 1024

=> p² + q² + 104 = 1024

=> p² + q² = 1024 - 104

=> p² + q² = 920

Answer 2

Answer:

p²+q²​+2pq = (p+q)²

p²+q²+(2x52) = (32)²

p²+q²+104 = 1024

p²+q² = 1024-104

p²+q² = 920