Question 1014084
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Word Problem: The sum of two integers is 37 and their product is 342. What are the numbers?

I'm not sure if this is correct but I tried answering it. Here's what I got:

Let: x = be the number
     37 - x = be the other number

x(37-x) = 342
37x-x^2 = 342
      0 = x^2 - 37x + 342

At this point, I don't know what to do anymore. Please help me.
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<pre>
1. Next apply the quadratic formula to solve your quadratic equation.

   Do you know what is the quadratic formula?

   If not, see these lessons in this site

     <A HREF=http://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</A>
     <A HREF=http://www.algebra.com/algebra/homework/quadratic/lessons/Introduction-Into-Quadratics.lesson>Introduction into Quadratic Equations</A>


2. OR factor your equation

   {{{x^2 - 37x + 342}}} = (x-19)*(x-18)

   and obtain immediately the roots x = 19 and x = 18.

   Yes, their sum is 18 + 19 = 37, and their product is 18*19 = 342.


3. OR factor the integer 342 as a product of prime numbers: 342 = {{{2*3^2*19}}} and try to get the required numbers.
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