How do you solve #(m/(m-5))-6 = 5/(m-5)# and find any extraneous solutions?

Question

1089 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-26T21:18:17

This question has something wrong with it!!!!

Mathematically you are not allowed to divide by 0. The proper name for this is: the equation is undefined for #m=5#

Move #5/(m-5)# to the left of the equals and change its sign

#m/(m-5)-5/(m-5)-6=0#

Move the 6 to the other side of the equals and change its sign

#m/(m-5)-5/(m-5)=6#

Multiply moth sides by #(m-5)#

#m-5=6(m-5)#

#color(red)("There is something very wrong with the question")#

#color(red)(m-5=6(m-5)" end up stating that " 1=6" " ???????)#