I Find the roots of the quadratic equation by differentiation

Anurag yadav
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The Solution of the Quadratic Equation By Differentiation Method
 

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Anurag yadav said:
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
 
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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