Question

The product of two numbers is 1 and the sum of their squares is 2. Find the numbers.

Answer #1

let first number is a and second number is b .

product of this two number is 1 . so

a*b=1

or

(1)

sum of their square is 2 . so

a^{2}+b^{2}=2

apply value of b from (1) into above equation

then a= 1 or -1

when a=1 , b=1

when a=-1 , b=-1

so we have two set of answers

**answer 1 = numbers are 1 ,1 **(1*1= 1
, 1^{2}+1^{2}=2)

**answer 2 = numbers are -1,-1
**(-1*-1=1 , (-1)^{2}+(-1)^{2} =
2

Find a formula for the sum of the squares of the numbers 1, 2,
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