Question

find value of. p-q if p²+q²=29 and pq = 10​

Answer 1

Answer:

p-q = +7 or -7

Step-by-step explanation:

Answer 2

Given:- p²+q²=29 and pq = 10.

To Find:- Value of p-q.

Solution:- We have , p²+q²=29 and pq = 10.

So ,

⇒ p² + q² = 29.

⇒ p² + q² - 2pq = 29 - 2pq.

⇒ ( p - q )² = 29 - 2*10

⇒ ( p - q )² = 29 - 20.

⇒ ( p - q )² = 9

⇒ p - q = √9.

⇒ p - q = ±3 .

★ Hence the value of (p-q) is ±3.