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

a²+b²=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 , 1²+1²=2)

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