Question

If a+b=25 and ab=50 then find the value of a-b?

Answer 1

Answer:

100 is the right answer

Answer 2

Answer:

given a+b=25

and,ab=50

(a+b)^2=a^2+b^2+2ab

(25)^2=a^2+b^2+2×50

625=a^2+b^2+100

625-100=a^2+b^2

525=a^2+b^2

Now,(a-b)^2=a^2+b^2-2ab

(a-b)^2=525-2×50

(a-b)^2=425

a-b=√425

a-b=20.61

So,the answer is 20.16