Question

if a²+ b² = 200, ab=28, find value of a+b

Answer 1

Step-by-step explanation:

as a²+b²=200

a²+b²=a²+b²+2ab

200=a²+b²+2(28)

200-56=a²+b²

144=a²+b²

√144=√a²+b²

12=a+b

Answer 2

Answer:

16

Step-by-step explanation:

(a+b)² = a²+b²+2ab

(a+b)²=200+2*28 [from given values of ab and a²+b²]

(a+b)²=200+56

a+b=root 256

a+b=16

hence, a+b=16