Answered

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How many extraneous solutions does the equation below have? startfraction 9 over n squared 1 endfraction = startfraction n 3 over 4 endfraction 0 1 2 3

Sagot :

facundo3141592

We will see that the equation has no extraneous solutions, so the correct option is 0.

How many extraneous solutions the equation has?

Here we have the equation:

[tex]9/n^2 = n^3/4[/tex]

Now, we can directly solve this, if we multiply both sides by n squared we get.

[tex]9 = n^5/4[/tex]

Now we can solve this for n:

[tex]9*4 = 36 = n^5\\\\\sqrt[5]{36} = n = 2.048[/tex]

So our equation has actually only one solution (or 5 equal solutions) and no extraneous solutions, so the correct option is 0.

If you want to learn more about extraneous solutions:

https://brainly.com/question/2959656

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