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

Question

2 years ago

8

r 4 endfraction 0 1 2 3

1 answer:

victus00 [196] · Answer 1 · 2023-08-26T07:46:50+03:00

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

<h3>How many extraneous solutions the equation has?</h3>

Here we have the equation:

$9/n^2 = n^3/4$

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

$9 = n^5/4$

Now we can solve this for n:

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

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:

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