SOLUTION: Please sold this problem. The sum of 2 numbers is 28 and their product is 96. Find the numbers.

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Question 65131: Please sold this problem.
The sum of 2 numbers is 28 and their product is 96. Find the numbers.

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y.
1) x+y = 28 Rewrite this as: x = 28-y and substitute for x in equation 2).
2)
2a) Simplify this:
Now add to both sides of the equation.
Subtract 28y from both sides.
Solve this quadratic equation by factoring.
Apply the zero product principle.
and
If then
If then
The two numbers are: 4 and 24.

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