Singularity I

Algebra Level 1

Are there any values of x x that satisfy

1 x = 1 2 x \dfrac {1} {x} = \dfrac {1} {2x}

No Yes

Ethan Mandelez by Ethan Mandelez , 15, Malaysia

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ethan Mandelez
Jun 3, 2021

Notice that 0 0 is not a solution here. This is because both 1 x \frac {1} {x} as well as 1 2 x \frac {1} {2x} is undefined at x = 0 x=0 .

Both of them have a singularity at x = 0 x=0 , where the numerical value of the function approaches plus minus infinity, so are not defined.

This graph is from Desmos.com , a really cool graphing software :D

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Desmos is a fantastic graphing tool - I have been using it to demonstrate algebraic concepts to my senior math classes in a visual manner for over a year !

Richard Costen - 1 week, 1 day ago

Log in to reply

My Math teacher have been using it as a teaching tool as well! I'm only 15 years old, but I absolutely agree with you - it helped me understand and visualize what is happening so much better 💡

Ethan Mandelez - 1 week, 1 day ago

Log in to reply

Indeed. The other really excellent tool is GeoGebra.

Richard Costen - 6 days, 9 hours ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...