Question

Joseph has started completing the square on the equation 3x2 - 7x + 12 = 0. He has worked to the point where he has the expression x2 - x = -4. Use complete sentences describe Joseph’s steps up to this point and whether or not his work is accurate.

Answer 1

Joseph has started completing the square on the equation where

given equation is

`3x^2-7x+12=0`

move constant term to other side.

`3x^2-7x=-12`

divide both sides by coefficient of x^2 that is by 3

`x^2-(7)/(3)x=-(12)/(3)`

`x^2-(7)/(3)x=-4`

This is the same step upto which Joseph has worked. But he got different equation

`x^2-x=-4`

Hence his work is not accurate.