SOLUTION: The difference of two positive numbers is 1 and the sum of their squares is 61. Find the numbers.
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Question 658159: The difference of two positive numbers is 1 and the sum of their squares is 61. Find the numbers.
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and x+1
We can solve for x using the quadratic equation with a=1, b=1, and c=-30:
And since we're only looking for positive integers:
So the two numbers are 5 and 6
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