Question

If a + b = 7 and ab = 6 , then a ^ 2 + b ^ 2 is equal to​

Answer 1

Answer:

37

Step-by-step explanation:

a²+b²

= (a+b)²-2ab

= (7)²-2×6

= 49-12

= 37

Answer 2

Answer:

➡ a² + b² = 37

Step-by-step explanation:

Given that,

➡ a + b = 7

➡ ab = 6

We need to find,

• The value of a² + b²

Using the identity :

➡ a² + b² = a² + 2ab + b²

Therefore,

➩ a² + b² = a² + 2(6) + b²

➩ 7² = a² + b² + 12

➩ 49 - 12 = a² + b²

➩ 37 = a² + b²