Sum of positive number and its reciprocal from two triangles

[@yb3604]

this channel is brilliant when x=1, the whole shape becomes a 1x1 square, with the hypotenuses of the triangles coming together as the diagonal of said square

[@MathVisualProofs]

:)

[@wyattstevens8574]

When does equality hold based on the diagram? An isosceles right triangle, the case where x=1.

[@aschetos]

Equality holds When x = 1, because inverse of 1 is 1.

[@W-Pentomino]

Math is cool

[@avijitpramanik5425]

Visualising is the best way to understand math😊 Do you agree 👍

[@raulsantamariadominguez7511]

The inequality holds that the sum of an integer and its reciprocal is equal or bigger than 2. The sum of the least integer, 1, plus its reciprocal, 1/1, is 2; when x=2, (reciprocal, 1/2) is 2.5, for 3 is 3.3 and so on.

[@raulsantamariadominguez7511]

The bigger the "x" is, the sum of "x" and its reciprocal is equal to (approaches) "x".

[@LordMarshyMan]

X=1

[@prince_bk]

1+1/1=2≥2

[@armchair8258]

Cool! Another way : 1/2(x+1/x)>=sqrt(x times 1/x)=1

[@KayneBanham]

Why did he say purple when it's blue

[@sohammaheshwari8487]

Yoooo I just learned this yesterday and the teacher said to memorize it and u showed me the proof thanks for your help ❤❤

[@MathVisualProofs]

Glad I could help!

[@DanielPoupko]

Bro *really* likes this result

[@ebgurif]

I get a feeling that you seem to really love the x + 1/x >= 2 proofs

[@MathVisualProofs]

Just had four to do. All done now. I do like that this fact is equivalent to AM-GM (two var) so same pics work :)

[@Program0101]

Litterly ❤

[@anteconfig5391]

Could it be when x is greater than 1?

[@rumamoitra3822]

Yes

[@sohyankeat2031]

Cmon dallas game 3 up yr game kyrie

[@monkeybrain2]

I am watching this at 1:40 AM and no I didin't understand shit

[@billymays972]

Fax

[@joeleonard1314]

What now?