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				   if x and y are the roots of the quadratic equation {general form}then what is the value ofx/y whole square+y/x whole square is equal to?


6 years ago

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										x,y are the roots of the quadratic eq at2 +bt +c
x+y =-b/a 7 xy =c/a
now we have (x/y)2 + (y/x)2
= x4 +y4 /(xy)2
={(x2 +y2)2 - 2(xy)2 }/(xy)2                                            {x4 +y4  +2(xy)2} = (x2 +y2)2
={ ( (x+y)2 -2xy)2 -2(xy)2 )/(xy)2                               {x2 +y2 +2xy) =(x+y)2
now substituting values of x+y and xy

{(b2 -2ac)2 -2(ac)2 }/(ac)2    this is the value of (x/y)2 + (y/x)2

6 years ago


6 years ago

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