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Mathematics 18 Online
mathslover (mathslover):

Please see attachment ..

mathslover (mathslover):

Solve the equation

mathslover (mathslover):

@mukushla @vishweshshrimali5

OpenStudy (jiteshmeghwal9):

i think use dividendo & componendo

OpenStudy (jiteshmeghwal9):

@mathslover :)

mathslover (mathslover):

well right ... nice idea i am going to try that wait

OpenStudy (jiteshmeghwal9):

k!

mathslover (mathslover):

k! = 1*2*3*4*... *k :D

OpenStudy (jiteshmeghwal9):

I meant OK

mathslover (mathslover):

So i got the following .. equation (quadratic): also first root x = 0 7x^3-43x+40=0 we get : second root = 5 third root = 8 / 7

OpenStudy (jiteshmeghwal9):

x2(2x-3)+(x+1)/x2(2x-3)-(x+1)=x2(3x-1)+(5x-13)/x2(3x-1)-(5x-13)

OpenStudy (jiteshmeghwal9):

i m trying factorization @mathslover

mathslover (mathslover):

hmn kkk

OpenStudy (unklerhaukus):

\[\qquad\quad\qquad\qquad\qquad\frac{2x^3-3x^2-x+1}{2x^3-3x^2-x-1}=\frac{3x^3-x^2+5x-13}{3x^3-x^2-5x+13}\] \[\frac{2x^3-3x^2-x-1}{2x^3-3x^2-x-1}+\frac{2}{{2x^3-3x^2-x-1}}=\frac{3x^3-x^2+5x+13}{3x^3-x^2-5x+13}+\frac{-26}{3x^3-x^2-5x+13}\] \[\qquad\qquad\qquad\qquad1+\frac{2}{{2x^3-3x^2-x-1}}=1+\frac{-26}{3x^3-x^2-5x+13}\]

mathslover (mathslover):

I am right: also solution 1 = 0

mathslover (mathslover):

@jiteshmeghwal9 just try the quadratic equation formula there ... factorization will use the mind in a worst way .. :) @UnkleRhaukus Why to do in such a long manner ? : as @jiteshmeghwal9 told .. use componendo and dividendo ..

OpenStudy (jiteshmeghwal9):

so the method of Dividendo & componendo was also right

OpenStudy (jiteshmeghwal9):

so my N.T.S.E. works @ last haha :)

mathslover (mathslover):

and further we will get the quadratic equation by having the first soln as 0 @UnkleRhaukus

mathslover (mathslover):

yes @jiteshmeghwal9 good work .. thanks thanks @UnkleRhaukus also

OpenStudy (unklerhaukus):

dividendo & componendo ?

OpenStudy (jiteshmeghwal9):

yw:)

OpenStudy (unklerhaukus):

crazy looking words

mathslover (mathslover):

yes @UnkleRhaukus if a/b = c/d then : (a+b)/(a-b)=(c+d)/(c-d) only if a is not equal to b and c is not equal to d

OpenStudy (unklerhaukus):

huh

mathslover (mathslover):

that is in LaTeX : \[\large{\textbf{IF} a\ne b \space \textbf{and}\frac{a}{b}=\frac{c}{d}}\] \[\large{\textbf{THEN}\frac{a+b}{a-b}=\frac{c+d}{c-d}}\]

mathslover (mathslover):

@UnkleRhaukus you want the proof of that?

OpenStudy (unklerhaukus):

news to me, yeah ok,

mathslover (mathslover):

http://www.meritnation.com/discuss/question/683600

mathslover (mathslover):

I was tired writing the latex sorry @UnkleRhaukus

OpenStudy (unklerhaukus):

dividendo & componendo, interesting

mathslover (mathslover):

this is the proof .. (inverse)

mathslover (mathslover):

@UnkleRhaukus That may help u in understanding componendo and dividendo

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