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What two numbers multiply to positive 10 and add to positive 9?

 Apr 28, 2023
 #1
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-1

The two numbers are (9 + sqrt(33))/2 and (9 - sqrt(33))/2.

 Apr 28, 2023
 #2
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x*y = 10  so y = 10/x

 

x + y = 9, so x + 10/x = 9  Multiply through by x and rearrange to get x^2 - 9x +10 = 0  Solve using the quadratic equation.

 Apr 28, 2023

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