Question

Find the solution
a2-b2=9
a.b=3
a+b=?

Answer 1

Given

a²-b² = 9

ab= 3

To find

a+b= ?

Solution

we know that

a²-b² = (a+b) (a-b)

a²-b²= 3 × 3

By comparison method

a+b =3

More information

(a+b)² = a²+b²-2ab

=> 9 = a²+b²-6

=>a²+b² = 15

Now you can find any identity by getting two values from questions

Answer 2

The value of a+b is 3.

Given,

The value of a²-b² = 9 and a-b= 3

To Find,

The value of a+b.

Solution,

Using the formula

(a²-b²) = (a+b).(a-b)

Now, the value of (a²-b²) is given as

(a²-b²) = 9

So,

(a+b).(a-b) = 9

Now, the value of (a-b) is given as 3

So,

(a+b)3 = 9

(a+b) = 9/3 = 3

Hence, the value of a+b is 3.

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