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aditya kulkarni Grade: 10
        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?
7 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

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 +y +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

7 years ago
mycroft holmes
271 Points
										

7 years ago
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