Question 1127915: Which statement best reflects the solution(s) of the equation?
The equation and answer choices are in the link here: https://prnt.sc/ldyx2y
A. There are two solutions: x = 2 and x = 3.
B. There is only one solution: x = 4.
The solution x = 1 is an extraneous solution.
C. There is only one solution: x = 3.
The solution x = 2 is an extraneous solution.
D. There is only one solution: x = 3.
The solution x = 1 is an extraneous solution.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! It is C
by putting the left side over a common denominator, one gets x^2-3x=1=2x-5 and x^2-5x+6=0
This factors into (x-3)(x-2), and the roots of that equation are 3 and 2.
But, when one substitutes two back into the equation, the denominator for one term on the left and the term on the right are 0, so they are undefined.
The only solution is x=3.
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