Q:

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.

Accepted Solution

A:
Answer:x = 7/6 + (i sqrt(95))/6 or x = 7/6 - (i sqrt(95))/6 thus NO, x^2 - (7 x)/3 = -4  would be correct.Step-by-step explanation:Solve for x: 3 x^2 - 7 x + 12 = 0 Hint: | Write the quadratic equation in standard form. Divide both sides by 3: x^2 - (7 x)/3 + 4 = 0 Hint: | Solve the quadratic equation by completing the square. Subtract 4 from both sides: x^2 - (7 x)/3 = -4 Hint: | Take one half of the coefficient of x and square it, then add it to both sides. Add 49/36 to both sides: x^2 - (7 x)/3 + 49/36 = -95/36 Hint: | Factor the left hand side. Write the left hand side as a square: (x - 7/6)^2 = -95/36 Hint: | Eliminate the exponent on the left hand side. Take the square root of both sides: x - 7/6 = (i sqrt(95))/6 or x - 7/6 = -(i sqrt(95))/6 Hint: | Look at the first equation: Solve for x. Add 7/6 to both sides: x = 7/6 + (i sqrt(95))/6 or x - 7/6 = -(i sqrt(95))/6 Hint: | Look at the second equation: Solve for x. Add 7/6 to both sides: Answer:  x = 7/6 + (i sqrt(95))/6 or x = 7/6 - (i sqrt(95))/6