SOLUTION: . Complete the square. Then write the trinomial square in factored form. x2 +2/3 x

Question 246539: . Complete the square. Then write the trinomial square in factored form.
x2 +2/3 x
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x2 +2/3 x =0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0.444444444444445 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, -0.666666666666667. Here's your graph:

complete the square by taking 1/2 (2/3) and squaring it.
(1/3)^2=1/9
add 1/9 to both sides
x2 +2/3 x +1/9=1/9
factor
(x+1/3)^2=1/9
get sqrt
|x+1/3|=1/3
ans one
x+1/3=-1/3
x=-2/3
answer two
x+1/3=1/3
x=0

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