Question

If a 2 + b 2 = 74 and ab = 35, then find a + b

Answer 1

Answer:

12

Step-by-step explanation:

(a + b)² = a² + b² + 2ab

Given a² + b² = 74 and

          ab = 35

On substituting, we get (a + b)² = 74 +2*35 = 144.

Thus, a + b = 12.

Answer 2

Answer:

The value of a+b= 12

Step-by-step explanation:

Given Data,

a² + b² = 74

and ab= 35

As we know that (a + b)² = a² + b² + 2ab   ..................(1)

Here in this question

a² + b² = 74

and ab = 35

Substituting the values in equation (1),

(a + b)² = (74) +2 x 35=144

(a + b)² =144

a+b= √144=12

Therefore, the value of a+b= 12