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apple_pi
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NOT A QUESTION (JUST INTERESTING)
Alternate derivation of the quadratic formula
 one year ago
 one year ago
apple_pi Group Title
NOT A QUESTION (JUST INTERESTING) Alternate derivation of the quadratic formula
 one year ago
 one year ago

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apple_pi Group TitleBest ResponseYou've already chosen the best response.7
You may be familiar with the derivation of the quadratic formula by completing the square...
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
We can get the exact same result by using the sum and products of roots
 one year ago

cornitodisc Group TitleBest ResponseYou've already chosen the best response.0
yes,,you're right
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
given a quadratic equation: ax^2+bx+c=0 let the two roots be p and q (which are equal to x)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yup, tried that, much interesting ...
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
p+q=b/c pq=c/a
 one year ago

cornitodisc Group TitleBest ResponseYou've already chosen the best response.0
yes,,that's right
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
What if we found pq? (pq)^2 = p^2  2pq + q^2 = (p^2 + q^2)  2pq = (p+q)^2  2pq  2pq = (p+q)^2  4pq = b^2/a^2  4*c/a = (b^24ac)/a^2 therefore pq = √(b^24ac) /a
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
sorry, not √ but ±√
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
did the same way, good,go on.
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
(p+q)+(pq)=2p=2x (because a root is a solution of x) 2x = b/a + √(b^24ac) /a x = b±√(b^24ac)  2a
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
And viola, the quadratic formula
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
Good Work !
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
Thank you
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
Excellent ! somehow ive never seen this before. thank you !!
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
Your welcome
 one year ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
not satisfied with the completing the square solution huh?
 one year ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.7
nah, long at messy.. this way seems so much more elegant
 one year ago
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