I Find the roots of the quadratic equation by differentiation

[Anurag yadav]

The Solution of the Quadratic Equation By Differentiation Method

 

[fresh_42]

The Solution of the Quadratic Equation By Differentiation Method

Yes, that can be done. A quadratic equation $(x\, , \,ax^2+bx+c)$ is a parabola. You basically computed where the symmetry axis of a standard parabola lies by determining the x-coordinate of the minimum ($a>0$) or maximum ($a<0$), and then the distance to its two zeros (so they exist). Maybe you are interested to read more about parabolas. https://en.wikipedia.org/wiki/Parabola

 

[fresh_42]

What is your goal? The method is not really new, only a bit more complicated than e.g. completing the square.

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