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

24xy+7y^2=9

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 .

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