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.

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

you cant answer this dummy

step-by-step explanation: