Question

Q.6. If (a – b) = 5 and ab = 16 then

find the value a+ b

please answer step by step​

Answer 1

(a – b) = 5

ab = 16

a+ b=?

1+6 =7

Hope it helps

Answer 2

Answer:

$\sqrt{89}$

Step-by-step explanation:

(a-b)=5

Squaring on both sides

$(a-b)^{2}$=25

$a^{2} +b^{2}$-2ab=25

$a^{2} +b^{2}$=25+32=57_____eq 1

Now,

$(a+b)^{2}$=$a^{2}+b^{2} +2ab$

                =57+32

               =89

a+b =$\sqrt{89}$