What is the numbers whose sum is 31 and the product is  361

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Let the two numbers we have to find be x and y.

Now their sum is 31

=> x + y = 31

Their product is 361

=> x*y = 361

x + y = 31

=> x =  31 - y

(31 - y)*y = 361

=> 31y -...

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Let the two numbers we have to find be x and y.

Now their sum is 31

=> x + y = 31

Their product is 361

=> x*y = 361

x + y = 31

=> x =  31 - y

(31 - y)*y = 361

=> 31y - y^2 = 361

=> y^2 - 31y + 361 = 0

So the numbers we get are complex:

x = 31/2 + sqrt ( 31^2 - 4*361) /2

=> x = 31/2 - i* sqrt 483 /2

and y = 31/2 + i sqrt 483/2

The numbers are 31/2 - i* sqrt 483 /2 and 31/2 + i*sqrt 483 /2

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