Question
Find and explain the error in the student's work/answers below
Solve:
m²+m-6=0
m^2-2m +3m-6=0
m(m-2)+3(m-2)=0
(m-2)(m+3) =0
m-2=0orm+3=0
m =-2orm=3
Solve:
m²+m-6=0
m^2-2m +3m-6=0
m(m-2)+3(m-2)=0
(m-2)(m+3) =0
m-2=0orm+3=0
m =-2orm=3
Answers
GPT 3.5
The error in the student's work is the last step where they split the equation into two separate equations incorrectly. The correct step would be to split it as "m - 2 = 0 or m + 3 = 0", not "m = -2 or m = 3".