SOLUTION: The product of two positive numbers is 1 and their difference is 3/2. Find the larger number. PLEASE explain how to do it???

Question 209910: The product of two positive numbers is 1 and their difference is 3/2. Find the larger number. PLEASE explain how to do it???
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let a = the larger number and b = the smaller number.
and...
Rewrite this as and substitute into the first equation.
Simplify.
Subtract 1 from both sides.
Multiply through by 2 to clear the fraction.
Factor this trinomial.
Apply the zero product rule.
or so that...
or Discard the negative solution as the numbers are to be positive.
Divide both sides by 2.
This is the smaller number.
Substitute b = 1/2.

This is the larger number.
Check:

and...

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