Answer: FALSE
Step-by-step explanation:
The first step is to rewrite the equation in the form [tex]ax^2+bx+c=0[/tex], then:
[tex]3x^2 = 6x - 9\\3x^2-6x +9=0[/tex]
Now, we need to calculate the Discriminant with this formula:
[tex]D=b^2-4ac[/tex]
We can identify in the given equation that:
[tex]a=3\\b=-6\\c=9[/tex]
Then, we only need to substitute these values into the formula:
[tex]D=(-6)^2-4(3)(9)[/tex]
[tex]D=-72[/tex]
Since [tex]D<0[/tex] then the equation has no real solutions.
