Answer:
1/1000
Step-by-step explanation:
The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:
(1)
In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.
The total number of possible outcomes is
n = 10
While the number of succesfull outcomes (getting a 3) is only one:

So, the probability of drawing a 3 in 1 draw is

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

4x - 2(3x - 9)....distribute the 2 thru the parenthesis
4x - 6x + 18....combine like terms
-2x + 18 <===
1
Move everything to the left by subtracting 25 from both sides:

Both terms are squares:
is the square of
, while 25 is the square of 5. So, we can apply the factoring

To factor the expression as

A multiplication is zero if and only if one of the factors is zero, so we have

2
The discriminant of the quadratic expression
is defined as

So, you have

3
Similarly, we have

Answer:
The solution is 
Step-by-step explanation:
We have the following equation:

Elevating both sides to 2, we can isolate x




Checking
