Question

The equation 3x2 = 6x - 9 has two real solutions
True
False

Answer 1

Answer: FALSE

Step-by-step explanation:

The first step is to rewrite the equation in the form $ax^2+bx+c=0$, then:

$3x^2 = 6x - 9\\3x^2-6x +9=0$

Now, we need to calculate the Discriminant with this formula:

$D=b^2-4ac$

We can identify in the given equation that:

$a=3\\b=-6\\c=9$

Then, we only need to substitute these values into the formula:

 $D=(-6)^2-4(3)(9)$

 $D=-72$

Since $D<0$ then the equation has no real solutions.