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 - 7/4x = -4. Use complete sentences describe Joseph’s steps up to this point and whether or not his work is accurate.

2 answers
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 - 7/4x = -4. Use complete sentences describe Joseph’s steps up to this point and whether or not his work is accurate.

Answers

3x^2 - 7x + 12 = 0 ....subtract 12 from both sides3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itselfx^2 - 7/3x = -4His work is not accurate because he divided the second term by 4 instead of 3.

Answer:His work is not accurate.Step-by-step explanation:Since, when we solve a quadratic equation by completing the square method,Then, we follow the following steps,Step 1 : Move the constant term to the right side of the equation,Step 2 : Make 1 as the coefficient of [tex]x^2[/tex]Step 3 : Add the square of the half of the coefficient of the x in both sides.Here, the given equation is,[tex]3x^2-7x+12=0[/tex]Step 1 :  [tex]3x^2-7x=-12[/tex]Step 2 : [tex]x^2-\frac{7}{3}x=-4[/tex]Since, in the Joseph's work the above expression is [tex]x^2-\frac{7}{4}x=-4[/tex]Hence, his work is not accurate because he divide the second term of the left side of equation by 4 instead of 3.

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