Problem: The equation x+10​−x+10​6​=5 has
Answer Choices:
A. an extraneous root between −5 and −1
B. an extraneous root between −10 and −6
C. a real root between 20 and 25
D. two real roots
E. two extraneous roots
Solution:
Multiply both sides of the equation by x+10​.
x+10−6=5x+10​,x2−17x−234=0,x=26 or −9.
−9 fails to check, i.e., it is an extraneous root.