Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
NOT A QUESTION (JUST INTERESTING)
Alternate derivation of the quadratic formula
 one year ago
 one year ago
NOT A QUESTION (JUST INTERESTING) Alternate derivation of the quadratic formula
 one year ago
 one year ago

This Question is Closed

apple_piBest 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_piBest 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

apple_piBest 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

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

apple_piBest 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

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

apple_piBest 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_piBest ResponseYou've already chosen the best response.7
And viola, the quadratic formula
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
Excellent ! somehow ive never seen this before. thank you !!
 one year ago

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

apple_piBest ResponseYou've already chosen the best response.7
nah, long at messy.. this way seems so much more elegant
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.