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x = 8 - y and also x = 8/y so 8 - y = 8/y ie 8y - y2 = 8 or y2 - 8y + 8 = 0.

There isn't an integer solution so using the quadratic formula gives

(8 +/- sqrt (64 - 32))/2

= (8 +/- 5.66)/2

= 4 +/- 2.83

= 6.83 or 1.17 which are the two numbers wanted, to the nearest hundredth.

Check: 6.83 + 1.17 = 8; 6.83 x 1.17 = 7.99. Near enough!

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Q: Find a pair of numbers x and y whose sum and product are both 8?
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