SOLUTION: The difference of two positive numbers is 5 and the sum of their squares is 125. Find the numbers.
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Question 351894: The difference of two positive numbers is 5 and the sum of their squares is 125. Find the numbers.
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
Let one number be x, then the other number is x+5
add like terms
subtract 125 from each side
now we have to factor
now you set each segment in parenthesis equal to zero and solve for x, so first segment is
2x+20=0 subtract 20 from each side, and you get
2x=-20 divide each side by 2 and you get
x=-10 now we do the other segment
x-5=0 add 5 to each side an dyou get
x=5
So the answers are x=-10 or x=5
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