A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Hello friends ... this is a tutorial that contains some interesting facts about quadratic equations ...
 2 years ago
Hello friends ... this is a tutorial that contains some interesting facts about quadratic equations ...

This Question is Closed

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.9before viewing this view : http://openstudy.com/study#/updates/4fe08815e4b06e92b86fa074

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.9HERE WE GO : Let alpha and beta are the 2 roots of the quadratic equation \(\large{ax^2+bx+c=0}\) as per the tutorial that i posted earlier : \[\huge{\alpha = \frac{b+\sqrt{b^24ac}}{2a}}\] \[\huge{\beta=\frac{b\sqrt{b^24ac}}{2a}}\] 1) Sum of the roots : \[{\alpha + \beta = \frac{b+\sqrt{b^24ac}}{2a}+\frac{b\sqrt{b^24ac}}{2a}}\] \[\huge{\alpha+\beta=\frac{2b}{2a}}\] \[\huge{\alpha+\beta=\frac{b}{a}}\] 2) Product of roots : \[\large{\alpha*\beta=(\frac{b+\sqrt{b^24ac}}{2a})*(\frac{b\sqrt{b^24ac}}{2a})}\] \[\large{\alpha*\beta=\frac{b^2b^2+4ac}{4a^2}}\] \[\large{\alpha*\beta=\frac{4ac}{4a^2}}\] \[\huge{\alpha*\beta=\frac{c}{a}}\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.9thanks @maheshmeghwal9

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.0To practice problems about product and sum of roots, do some problems on http://www.saab.org/mathdrills/act.html

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.0It is Vieta's formulas for the quadratic equation.

jiteshmeghwal9
 2 years ago
Best ResponseYou've already chosen the best response.0i wanna ask can u give me the proof of quadratic equation @mathslover ???

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.9Why not @jiteshmeghwal9 So here i go : http://openstudy.com/study#/updates/4fe08815e4b06e92b86fa074
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
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.