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il63 [147K]
3 years ago
11

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

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

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 then the equation has no real solutions.

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