Question

. If ab = 6 and a+b=5 then the positive value of (a-b) is *

11

12

1

16

​

Answer 1

Answer: 1

Step-by-step explanation:

ab=6 . -(1)

----> a=6/b Or b=6/a

a+b=5

Putting the value of a or b

(I am using value of a)

---> 6/b+b=5

6+b² / b=5

6+b² =5b

b²-5b+6=0 (middle term splits

up method)

b²-3b -2 b+6 =0

b(b-3) -2(b-3)=0

(b-3)(b-2) =0

b=2 or 3

By putting the value of b in eq 1,we

get

a= 3 or 2

So, a-b =3-2=1

Hope, it will help you...