Proof of The Exact Formula of Solution of Cubic Equations | Interesting Mathematics

In this video, Praveen Agrawal (PAL) Sir, IIT Kanpur derives the exact formula for solution of cubic equations, similar to quadratic equations.

Watch the history here :

Also the different conditions are told with reference to cubic Discriminant when there is unique solution, exactly 2 distinct solution or exactly 3 distinct real solutions.

The concepts involved are Theory of Equations (Polynomials), Complex Numbers, Graphs, Applications of Derivatives, Maxima and Minima

[aman_unexplored]

Very much helpful and beautiful sir....😊 need more such content sir...🙏

[holyshit]

This approach can be generalized to quartics
x^4 + px^2 + qx + r=0
x=u + v + w
(u + v + w)^4 = 2(u^2 + v^2 + w^2)(u + v + w)^2 + 8uvw(u + v + w) + 4(u^2v^2 + u^2w^2 + v^2w^2) - (u^2 + v^2 + w^2)^2

[sarinnair]

kya baat hai sir praveen sir✌✌
you are awesome🙏🙏

[shibam]

Now the exact formula for Quartic equation 😁

[MirzaAli-rc]

I derived a formula for sin 1
Which becomes a cubic equation

[JaikeyChaudhary]

How to solve x^3+x^2+x-180=0??
Plzz..help me sir

[mohinidevi]

Sir best books for mathematics olympiads.

[shibam]

How to solve if the formula contain negative square roots

[atikshagarwal]

Sir ye hamesha valid nahi hota that's what I Heard..