SOLUTION: I don't know what to do with this one. Please help. Here goes: Find two positive numbers that differ by 2 and have a product of 20. Match your result to the correct answer bel

Question 79399: I don't know what to do with this one. Please help. Here goes:
Find two positive numbers that differ by 2 and have a product of 20. Match your result to the correct answer below:
1-sqrt21, 3-sqrt21
-1+sqrt21, -1-sqrt21
-1+sqrt21, 1+sqrt21
-1+sqrt21, -3+sqrt21
Please help. Thanks
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be A and B. From the problem description you can write:
1) and
2)
Rewrite equation 1) as:
and substitute into equation 2) for A, then solve for B.
2a) Simplify and subtract 20 from both sides.
Solve this quadratic equation using the quadratic formula:
Simplify.

The two numbers are:

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