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

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please sold this problem. The sum of 2 numbers is 28 and their product is 96. Find the numbers.      Log On


   

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) About Me  (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) x%2Ay+=+96
2a) %2828-y%29%2Ay+=+96 Simplify this:
28y+-+y%5E2+=+96 Now add y%5E2 to both sides of the equation.
28y+=+y%5E2+%2B+96 Subtract 28y from both sides.
y%5E2+-+28y+%2B+96+=+0 Solve this quadratic equation by factoring.
%28y+-+4%29%28y+-+24%29+=+0 Apply the zero product principle.
y+-+4+=+0 and y+-+24+=+0
If y+-+4+=+0 then y+=+4
If y+-+24+=+0 then y+=+24
The two numbers are: 4 and 24.