Question

I'm thinking of two numbers. The sum of my numbers is 14 and the product of my numbers
is 46. What is the sum of the squares of my numbers ?

Answer 1

Let the numbers be x and y

Then by the given conditions,

x+y = 14    ------(1)

xy = 46     ------(2)

We have to find x²+y²

x²+y² can also be written as

x²+y² = (x+y)² - 2xy   -------(3)

Substituting (1) and (2) in (3)

x²+y² = 14² - 2*46

         = 196 - 92

         = 104

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Answer 2

Answer:

106

Are you sure product is 46? If its 45. see below

= 9 + 5 = 14

= 9 * 5 = 45.

So sum of squares of 9 and 5 are

9 * 9 = 81

5 * 5 = 25

= 81 + 25

= 106