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You may be familiar with the derivation of the quadratic formula by completing the square...

We can get the exact same result by using the sum and products of roots

yes,,you're right

given a quadratic equation: ax^2+bx+c=0
let the two roots be p and q (which are equal to x)

yup, tried that, much interesting ...

p+q=-b/c
pq=c/a

yes,,that's right

sorry, not √ but ±√

did the same way, good,go on.

And viola, the quadratic formula

Good Work !

Thank you

Excellent ! somehow ive never seen this before. thank you !!

Your welcome

not satisfied with the completing the square solution huh?

nah, long at messy.. this way seems so much more elegant