SOLUTION: 4. Two numbers differ by 9 and the sum of their reciprocals is 5/12. Find the numbers.
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Question 1207267: 4. Two numbers differ by 9 and the sum of their reciprocals is 5/12. Find the numbers.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
1st Hint:
One setup equation would be
2nd hint:
Multiply both sides by the LCD 12x(x+9) to arrive at
3rd hint:
Expand everything out and get terms to one side.
You should get
In which you can use the quadratic formula.
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