Nice Olympiad Factorial Math Problem | Find The Value Of M

This video is about a factorial problem . Here we need to find the value of m . We use the factorial method to find the value of m . The value of m is 5 .
#factorial #olympiad #olympiadpreparation #olympiadmathematics #nrlogic
Maths Olympiads are held all around the world to recognize students who excel in maths. The test is offered at many grade levels and provides them with numerous possibilities to win certifications, awards, and even scholarships for higher studies.
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[@viavip1940]

the solution is guessing. Move on

[@LuchoTorres96]

So you need half the prime factors on m^2 which is huge, and the other half on m-1. So m=6 is a good guess since m-1=5 is prime

[@ghosttwo2]

I noted that the left side starts smaller than the right for small values of m, but is guaranteed to overtake it quickly. Since brute forcing is easy to compute, I guessed all the way up to six in about 20 seconds and landed on '5'. For each one I noted whether the left side was greater yet, then moved along. As both equations have positive curvature, there are no other solutions beyond it.

[@Mathematicaleducation]

Nice work

[@Nikioko]

m = 5
But how is it solved?
m! = m³ − m
m (m − 1)! = m (m² − 1)
(m − 1)! = m² − 1
(m − 1) (m − 2)! = (m + 1) (m − 1)
(m − 2)! = m + 1
And here it stops for me.

[@Mathematicaleducation]

How ?

[@rushikeshpalnitkar4019]

bgm name pls

[@Mathematicaleducation]

Come inbox

[@Mathematicaleducation]

Come inbox