Prove that the linear part of the equation vone
4.x2 - 12 xy +9y2 + 4x +6y +1=0
cannot be made to disappear by only change of parallel axes.
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4x
2
+12xy+9y
2
=(2x)
2
+2(2x)(3y)+(3y)
2
=(2x+3y)
2
4x
2
+12xy+9y
2
=(2x)
2
+2(2x)(3y)+(3y)
2
=(2x+3y)
2
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