Question

if a-b=1 and a² +b²=41,find the value of a+b

Answer 1

Answer:

Step-by-step explanation:(a-b)2=a2+b2-2ab=1

41-2ab=1

2ab=40

ab=20

(a+b)2=a2+b2+2ab

41+40=81

(a+b)2=81

(a+b)=+or-9

Answer 2

Step-by-step explanation:

(a-b)2 =a2 +b2 -2ab

1= 41-2ab

-40=-2ab

ab=-40/-2=20

ab=20

(a+b)2 =a2+b2+2ab

(a+b)2=41+40

(a+b)2=81

a+b==√81

a+b=9