What adds to and multiplies to

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Question 985971: Find two numbers that add to 3 and multiply to -40.
(Enter the two numbers separated by a semicolon.)
Thanks

Answer by ikleyn(45731)
What adds to and multiplies to
 
What adds to and multiplies to
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You need to find two integers  x  and  y  from the system of two equations in two unknowns

.

Express  y  from the first equation  y = 3 - x  and substitute it to the second equation.  You will get

x*(3 - x) = -40.

Solve it:

+ + = ,

- - = ,

The roots are  x = 8  and  x = -5   (use the quadratic formula).

From the first equation,  if  x = 8  then  y = -5.
Similarly,  if  x = -5,  then  y = 8.

Answer.  The pairs  (8,-5)  and  (-5,8)  are the solutions.


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What two numbers add up to 11 and multiply to 28?

The two numbers that multiply to 28 and add to 11 are as follows:.
Here is the math to prove that our answer to "What two numbers multiply to 28 and add to 11?" above is correct:.
Multiply: 4 x 7 = 28..
Add. 4 + 7 = 11. The answers above are rounded if necessary..

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