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What is the solution to the system of equations
1 answer:
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Let 
be the roots of the equation 
. By the Viet theorem you have that 
.
For the equation
you'll have that 
That is
.
Answer:
For the equation
That is
Answer:
Let's think of the problem as follows.
Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.
The connection of the 2 problems is as follows:
The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.
we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.
So there are in total 9*8*7*6= 3024 4-digit numbers, with non-repeating digits.
One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)
among these 3024 numbers, the probability of picking 1234 is
We could have solved this problem also as :
P(drawing 1, 2, 3, 4 in order)=
Answer:
Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.
The connection of the 2 problems is as follows:
The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.
we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.
So there are in total 9*8*7*6= 3024 4-digit numbers, with non-repeating digits.
One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)
among these 3024 numbers, the probability of picking 1234 is
We could have solved this problem also as :
P(drawing 1, 2, 3, 4 in order)=
Answer: