Question

if (a+b)=73 and ab=65. Find the value of a2+b2​

Answer 1

Answer:

The value of a² + b² is 5199 when a + b = 73 and ab = 65.

Step-by-step explanation:

Given that :

➸ a + b = 73

➸ ab = 65

We know the algebraic identity :

➸ (a + b)² = a² + b² + 2ab

Now, let’s substitute the above values in the formula and find a² + b² :

➸ (a + b)² = a² + b² + 2ab

➸ ( 73 )² = a² + b² + 2 ( 65 )

➸ 5329 = a² + b² + 2 ( 65 )

➸ 5329 = a² + b² + 130

➸ 5329 – 130 = a² + b²

➸ 5199 = a² + b²

Therefore, the value of a² + b² is 5199.