Explanation: First we would need to put the equation in standard form which is as follows: ax² + bx + c = 0 This can be done as follows: 9x² + 6x + 1 = 8 Subtract 8 from both sides and combine like terms to reach the following: 9x² + 6x - 7 = 0 By comparison: a = 9 b = 6 c = -7
Now, to get the roots, we would need to use the quadratic formula attached in the images.
Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.