Suppose that x and y are positive integers such that x^2 * y^3=46656. What is the sum of all possible values of x?
1 answer:
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<h2>Answer:</h2>
a)
The probability that both televisions work is: 0.42
b)
The probability at least one of the two televisions does not work is:
0.5833
<h2>Step-by-step explanation:</h2>There are a total of 9 televisions.
It is given that:
Three of the televisions are defective.
This means that the number of televisions which are non-defective are:
9-3=6
a)
The probability that both televisions work is calculated by:
( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.
and the total outcome is the selection of 2 televisions from a total of 9 televisions)
Hence, we get:
b)
The probability at least one of the two televisions does not work:
Is equal to the probability that one does not work+probability both do not work.
Probability one does not work is calculated by:
and the probability both do not work is:
Hence, Probability that atleast does not work is:
0.5+0.0833=0.5833
The correct answer is: if is a root of
, then
is also a root of
.
In fact, every polynomial has real and/or complex solutions. If all solutions are real, we're good. But if not all of them are real, then the complex ones come in couple of conjugate solutions. Since and
are conjugate complex numbers, if one of them is a solution, the other must be as well.