What is the following quotient? 2divided by the square root of 13 plus the square root of11
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<u>Given</u>:
The given equations are and
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting in the equation
, we have;
Thus, the value of x is 1.
Substituting x = 1 in the equation , we get;
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
<h3>What is a complex number?</h3>It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
Here n>1
Plug n = 2
= 145/144
= 1.0069
Which is greater than 1.
Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
Learn more about the complex number here:
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