Question

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

3 + x - 3x2 = 9

A) (x -1/6)2 = 7/36
B) (x -1/3)2 =71/36
C) (x -1/6)2 = -71/36
D) (x -1/3)2 = -71/36

Please help me!

Answer 1

3 + x - 3x2 = 9
3 x^2 - x + 6 = 0
3 x^2 - x = -6
x^2 - 1/3 x = -2
x^2 - 1/3 x + (1/6)^2 = -2 + 1/36
( x - 1/6)^2 = -72/36 +1/36

Answer 2

@Damon It was C) like you said, thank you so much! Stay safe from the Coronavirus.