Question

Consider the graph of the quadratic function y = 3x2 – 3x – 6.

What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6?

–1 and 2
–6 and –1
–1 and 1
–6 an 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solutions of the quadratic equation 0 = 3x2 − 3x − 6, we first need to set the equation equal to zero.

0 = 3x2 − 3x − 6

Next, we can factor the quadratic equation:

0 = 3(x^2 - x - 2)
0 = 3(x + 1)(x - 2)

Now, set each factor equal to zero:

x + 1 = 0 or x - 2 = 0
x = -1 or x = 2

Therefore, the solutions of the quadratic equation are x = -1 and x = 2. So, the correct answer is -1 and 2.