Question

If (x + p)(x + q) = x 2 – 5x – 300, find the value of p 2 + q 2 .

Answer 1

Answer:

(x+p)(x+q) = x^2+5x-300

x²+(p+q)x+pq = x²+5x-300

comparing we get,

(p-q) = 5 (as pq is in negative)

pq = -300

P²+q² = (p-q)² +2pq

p²+q² = (5)²-600

p²+q² = 25-600 = -575 (Ans)

(Mark as brainlist)