Question
Find and explain the error in the student's work below.
Solve:
2c^2+c-6=0
2c²+ 4c-3c -6=0
2c(c + 2)- 3(c+2)=0
(c+2)(2c-3)=0
The student states that the answers are c + 2 and 2c - 3.
Solve:
2c^2+c-6=0
2c²+ 4c-3c -6=0
2c(c + 2)- 3(c+2)=0
(c+2)(2c-3)=0
The student states that the answers are c + 2 and 2c - 3.
Answers
GPT 3.5
The error in the student's work is that they mistakenly mixed up the signs in the final step. The correct final step should be:
(c + 2)(2c + 3) = 0
The correct answers are c + 2 and 2c + 3.
(c + 2)(2c + 3) = 0
The correct answers are c + 2 and 2c + 3.