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12 Feb 2019 - 8 min - Uploaded by Nick P: Today's Episode of Live To Follow. a new version of Moo Tools for Mac and iPad. AudioComposer is the world's #1 MIDI, VST, Audio API, and Audio Units software development.Q:

How to solve $R^3 + R = 0$

Can someone please explain how to solve this equation:

$R^3 + R = 0$

Hint: you want a real number $R$. We have $R^3 = -R$

Now, do you see any way to prove that $R$ has to be negative?

Continuing from where I left off in @ChrisW's answer:

We have $R^3=-R$.

Let $\alpha$ be a number such that $R=\alpha^3$.

Thus, the equation becomes

R+\alpha^3=0.

Can you now conclude that $R=\alpha^3=-\alpha^3=-\alpha^3=R$?

Hint: $R=\pm\sqrt[3]{ -R}$.

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A pilot in Colombia has become the first in the world to break the sound barrier in an unpowered aircraft.

The pilot, who flew with a three-man team, was reported to have reached 186mph at an altitude of 30,000ft (9,100m) over a field in the town of San Pedro de Atacama.