Question

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

Answer 1

Answer: FALSE

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.