SOLUTION: two positive numbers differ by 7 and the sum of their squares is 169. find the numbers.
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Question 484760: two positive numbers differ by 7 and the sum of their squares is 169. find the numbers.
Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
Let x is the first number
Let y is the second number
two positive numbers differ by 7, so
the sum of their squares is 169, so
The system of equations
From the first equation substitute into the second equation
divide by 2
If , then
If , then x[2]=7+(-12)=-5}}}
Answer 5 and 12, or -5 and -12
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