Question

A+b = 5 and a^2+b^2 = 15 . find a-b

Answer 1

Answer:

Step-by-step explanation:

a+b = 5       a²+b² = 15       a-b = ?

(a+b)² = a²+b²+2ab

25 = 15+2ab

10 = 2ab

ab = 5

(a-b)² = a²+b² - 2ab

(a-b)² = 15 - 10

(a-b)² = 5

a-b = √5