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Hello friends ... this is a tutorial that contains some interesting facts about quadratic equations ...
 one year ago
 one year ago
Hello friends ... this is a tutorial that contains some interesting facts about quadratic equations ...
 one year ago
 one year ago

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mathsloverBest ResponseYou've already chosen the best response.8
before viewing this view : http://openstudy.com/study#/updates/4fe08815e4b06e92b86fa074
 one year ago

mathsloverBest ResponseYou've already chosen the best response.8
HERE 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 : \[\large{\alpha*\beta=(\frac{b+\sqrt{b^24ac}}{2a})*(\frac{b\sqrt{b^24ac}}{2a})}\] \[\large{\alpha*\beta=\frac{b^2b^2+4ac}{4a^2}}\] \[\large{\alpha*\beta=\frac{4ac}{4a^2}}\] \[\huge{\alpha*\beta=\frac{c}{a}}\]
 one year ago

mathsloverBest ResponseYou've already chosen the best response.8
thanks @maheshmeghwal9
 one year ago

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

klimenkovBest ResponseYou've already chosen the best response.0
It is Vieta's formulas for the quadratic equation.
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.0
i wanna ask can u give me the proof of quadratic equation @mathslover ???
 one year ago

mathsloverBest ResponseYou've already chosen the best response.8
Why not @jiteshmeghwal9 So here i go : http://openstudy.com/study#/updates/4fe08815e4b06e92b86fa074
 one year ago
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