When a positive number is divided by it's reciprocal, the result is 4/9. What is the number? - 4.9 a tvcenter dazzle
If a positive number of based on reciprocity that is shared, the result is 4 / 9. How many? I need help ... now.
Sunday, February 7, 2010
4.9 A Tvcenter Dazzle When A Positive Number Is Divided By It's Reciprocal, The Result Is 4/9. What Is The Number?
7 comments:
Find the number (s):
x ² = 4 / 9
x = 2 / 3
Answer: 2 / 3
(Test result is 4 / 9):
= (2 / 3) / (3 / 2)
= 2 / 3 (2 / 3)
= 4 / 9
We have, therefore, is a positive number, we do not know what it is. Call this number x. Therefore, the inverse 1 / x.
So:
x divided by the reciprocal (1 / x) 4 / 9
x / (1 / x) = 4 / 9
x (x / 1) = 4 / 9
x ^ 2 = 4 / 9 the square root of both sides have
get x = 2 / 3 to (techinically 2 / 9 or -2 / 9, but the problem points to a positive number, so do not take a -2 / 9)
voila
I left this note: For some reason, many people have this question, finally take the square root answered. I thought to let you know that the answers are poorly written, and I quote Wikipedia:
"# Mutual, mathematics, number 1 / X, which is the product of x 1, is also known as mutual multiplied."
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For real or complex number x is not equal to 0, is the opposite of a number (1 / x). You can not divide by 0
The reversal of the reversal of the x = [1 / (1 / x)]. Multiplying the numerator and denominator of x does not change the value. So:
* 1 x. .............. x
------- = ------------ = X
(1 / x) * x. ......... 1
In other words:
Sentence (1) The reversal of the reversal of x x.
Since this is true, and the number you are looking for is x,
[1 / (1 / x)] = x = 4 / 9 and the answer is 4 / 9 ..... \\ \\ \\ \\ \\ \\ \\ \\ U0026lt \\ \\ \\ \\ \\ \\ \\ \\ u0026lt \\ \\ \\ \\ \\ \\ \\ \\ u0026lt; .. Answer
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Note: [1 / (reciprocal x)] is the inverse of the inverse of x, by Theorem (1), x.
In this case, 4 / 9
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.
Let n = x
Its reciprocal = 1 / x
On request
(x) / (1 / x) = 4 / 9
or (x) * (x) = 4 / 9
or (x) ^ 2 = 4 / 9
Under the square root of both sides, we obtain
= X + 2 / 3 or x = -2 / 3
Ignoring x = -2 / 3 as n is positive, we
x = 2 / 3, the number is required
Now check your answer.
Reciprocal of 2 / 3 3 / 2
However, depending on the topic
(2 / 3) / (3 / 2) = 4 / 9
or (2 / 3) * (2 / 3) = 4 / 9
or 4 / 9 = 4 / 9
what is true.
Note that we are here * for the multiplication sign is used instead of X such that x. differntiate alphabet
Let x is a positive number.
Its reciprocal is 1 / x.
If we divide x by the inverse, we get x / (1 / x).
Is exactly equal to x * x = x ^ 2, which is the square of the number.
The result is 4 / 9, we have x ^ 2 = 4 / 9.
We get only the square root of 4 / 9.
The square root of 4 is 2
The square root of 9 is 3
Thus, the square root of 4 / 9, 2 / 3.
So x = 2 / 3. This is the positive number you want.
:)
To divide a number by the inverse is the same as multiplying the number is off by itself. For a number x / y:
(x / y) / (y / x) = (x / y) x (x / y)
Therefore, if (x / y) / (y / x) = 4 / 9, then (x / y) x (x, y) = 4 / 9
In other words:
x ² / y ² = 4 / 9
This means that x / y = 2 / 3.
I hope that helps. Good luck!
Divide a number of its inverse is the same as the square. Your answer is 2 / 3.
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