SOLUTION: How in the world?? Again my book doesnt have an equation on how to solve this and guessing got me no where. Will you please help? Thank you!! One on one: Find two positive real

Question 54168This question is from textbook beginning and intermediate algebra
: How in the world?? Again my book doesnt have an equation on how to solve this and guessing got me no where. Will you please help? Thank you!!
One on one: Find two positive real numbers that differ by 1 and have a product of 1.
This question is from textbook beginning and intermediate algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find two positive real numbers that differ by 1 and have a product of 1
Let one of the numbers be "x" and the other be "x+1"
EQUATION:
x(x+1)=1
x^2+x-1=0
Use the quadratic formula to solve for "x".
x=[-1+-sqrt(1+4)]/2
Since you want positive numbers,
x=[-1+sqrt5}/2 (This is one of the numbers)
x+1=[-1+sqrt5]/2 + 2/2
x+1=[1+sqrt5]/2 (This is the other number)
Cheers,
Stan H.

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