Question

Solve the quadratic equation by completing the square.
–3x^2 + 9x = 1

Answer 1

Okay, -3x^2 + 9x -1 =0

Answer 2

Okay, I'm sorry. I just re-read about completing the square and the first step is to move the constant to the other side of the equation. So the original equation is where we start.

Answer 3

From the original equation first we will divide by -3

Answer 4

okay, ..

Answer 5

x^2 - 3x = -1/3

Answer 6

okay, now what do you do

Answer 7

we take half of the coefficient of the x term and square it, adding it to both sides of the equation. So... (-3/2)^2 = 9/4

x^2 - 3x + 9/4 = -1/3 + 9/4

Answer 8

I am literally just following these steps http://www.purplemath.com/modules/sqrquad.htm

Answer 9

now we have a factorable left side.
(x-3/2)^2 = 23/12

Answer 10

x-3/2 = +/- sqrt 23/12

Answer 11

x= 3/2 +/- sqrt 23/12

Answer 12

{(3^1/2)x - 3(3^1/2)}^2=23/4

Answer 13

typing eq on ths is a tough job