Question

A student attempted the work below, identify any errors in each line. If no error is found, describe in words what step was taken. If there is an error, explain what should have been done.

Answer 1

1.No error , he divided by 16 in the 2 sides .
2.no error ,he made sure that 16/16 is one while d/16 remains
3.no error , he square rooted both sides
4.error, as the root gives one positive value and one negative value not only a positive value ,the answer should have been t=+-(d/4)
5.error,he disturbed the whole equation by rooting d only he should have rooted both sides

Answer 2

The required table is shown below.

Explanation:

Consider the provided table and expression.

The required table is:

# Algebraic step Error Description of step/correction of error

d=16t² No

1 d/16=16t²/16 No Divide both side by 16

2 d/16=t² No Simplify

3
`\sqrt{(d)/(16)} =√(t^2)` No taking square root both side

4
`(d)/(4) =t` Yes correct step is
`\pm(√(d))/(4) =t`

5
`t=(√(d))/(4)` Yes correct step is
`t=\pm(√(d))/(4)`