SOLUTION: Find two numbers such that their difference is equal to their product and the sum of their reciprocal a is 5.

Question 909098: Find two numbers such that their difference is equal to their product and the sum of their reciprocal a is 5.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

two numbers, and , such that their difference, is equal to their product
so,...eq.1
and the sum of their reciprocal, and , is .
so, ....eq.2
start with ...eq.1 and solve for

plug it in eq.2

....eq.2
...solve for

now find

check:
...eq.1

...
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