SOLUTION: Two numbers are given. The sum of their squares minus twice their product is equal to 16. What is the difference between the largest and the smallest of these numbers?
(A) 4 (B)
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(A) 4 (B)
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Question 305332: Two numbers are given. The sum of their squares minus twice their product is equal to 16. What is the difference between the largest and the smallest of these numbers?
(A) 4 (B) 6 (C) 8 (D) 10 (E) 16 Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Two numbers are given. The sum of their squares minus twice their product is equal to 16. What is the difference between the largest and the smallest of these numbers?
Let the two numbers be x & y
x^2+y^2-2xy = 16
(x-y)^2= 16
x-y =4
OR
-(x-y)=4
The difference =4