Question

find the value of a-b, if a+b=3, ab=2​

Answer 1

Answer:

We have the value of a+b=3 and the value of ab=2.

We have to find the value of a-b=?

Let , a+b=3———(1) equation

ab=2——(2) equation

Now take eq. 1 and find the value of b, b=(3-a).

Put this value of b in the eq. (1) ,

a(3-a)=2

3a-a^2=2

a^2–3a+2=0, this is square equation so it has two value and when we factorized it we got,

a^2–2a-a+2=0

a(a-2)-1(a-2)=0

(a-1)(a-2)=0

It means that (a-1) & (a-2) both are the factors of a^2–2a-a+2.

We got two value of a =1 & 2

Condition 1. When a=1 then b=2

Condition 2. When a=2 then b=1