Rotation of Axes to Eliminate

label Calculus
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Use a rotation of axes to eliminate the cross product term in the equation. 

24xy+7y^2=9

May 7th, 2015

7y^2 + 24xy-9 = 0

 solve for y

D= (24x)^2 -4*7(-9) = 576x^2+252

 y = --24x+(576x^2+252)^1/2/ 2*24x

   y1 = -12x+(144x^2 +63)^1/2/24x 

     y2 = -12x-(144x^2 +63)^1/2/24x

 Regarding any clarification plz let me know .

I will explain  you  feel any doubt.


May 7th, 2015
 I used  this formula to calculate 
 where D = b^2- 4ac 

May 7th, 2015

I hope it will be clear now 

May 7th, 2015

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