Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.

let a,b be the two numbers. we know that a2-b2=5 and a*b=6

using the formula we are given

we get the solution

13

Step-by-step explanation:

Let x and y are two numbers. The difference of the squares if the two numbers is 5 and the product of the numbers is 6 such that,

......................(1)

..........(2)

We need to find the sum of the squares of two numbers. By using following identities it can be calculated as :

Using equation (1) and (2) in above equation, we get :

So, the sum of squares of two numbers is 13. Hence, this is the required solution.

step-by-step explanation:

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