Question

a-b=1 & a^2+b^2=41 then a+b=?

Answer 1

(a-b)^2 =  1^2

a^2 + b^2 - 2ab = 1

41 - 2ab = 1

41 -1 = 2ab

40 =2ab 

40/2 =ab

20 = ab

Now,

let a+b be x

(a+b)^2 = a^2  + b^2 +2ab

x^2 = a^2 +b^2 +2ab

x^2 = 41 + 2(20)

x^2 = 41+ 40

x^2 = 81

x = 9

Now,

a+b = 9 


 i hope this will help you


-by ABHAY

Answer 2

Hi,

Please see the attached file!


Thanks