SOLUTION: Find two positive real numbers that differ by 2 and have a product of 10.

SOLUTION: Find two positive real numbers that differ by 2 and have a product of 10.

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Question 153153: Find two positive real numbers that differ by 2 and have a product of 10.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let one number be x, then the other one can be expressed as x + 2.
As their product is 10, we have
x(x + 2) = 10
expanding the left side, we have

Completing square, we have

So
or
So there are two solution to this problem:
(1)
one number is .
The other is
(2)
one number is
the other is

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