QOTD 4/23/2026

What is the negative solution to the given equation?

$\nicefrac{21}{2x + 11} = x$

Submit

The correct answer is -7.

current priority level - we all want this one

Not only do we all want this one, but it would also be quite exciting if you know why this is the case: we can employ desmos to smash this question.(Bonus - If you do not know why the colon in the previous sentence is doing what proper colons do, it’s probably a good idea to the link in this sentence a click.

In many cases, when we type an equation in to desmos, we can directly click upon x-intercepts that are the solutions we are looking for. In many cases, because of the nature of the equation we are given, we are not able to do so, so we likely move and zoom in to confirm what we are seeing.

We certainly get why $\nicefrac{3}{2}$ or 1.5 gets input as the answer. If you did type such an answer in, maybe do not just brush this misfire aside. There is a nitpickiness that is very much within the fabric of this test.

If there is any issue with you confidently arriving at -7 as your answer here, let us know. Again, we all want this one.

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