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

$x^2-\frac{7}{3}x=-\frac{12}{3}$

$x^2-\frac{7}{3}x=-4$

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.