How the conditions of the cubic equation arising out of conormals of a parabola are arrived at.

Asked by  | 17th Dec, 2008, 08:04: AM

Expert Answer:

this is a qubic equatiion. let the roots are m1,m2,m3

so sum of roots = m1+m2+m3 = - (coefficient of m2 ) / (coefficient of m3 )= 0 

m1m2+m2m3+m1m3 = (coefficient of m ) / (coefficient of m3 ) = (2a-x1) / a

and m1m2m3 = - constant / (coefficient of m3 ) = -y1 / a

you have written x1 in place of a. so please check. it should be a .

Answered by  | 17th Dec, 2008, 10:13: AM

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