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Canonical form:
11x^2-20xy-4y^2-8y+1=0
196
x^2-6x+9=-2y
4x^2+25y^2-16x+50y-67=0
Plot:
(x^2+y^2+1)^2-x^2*y^2=1
z=x^3+y^3-3*x*y+5
y^2-4*x+x^2+16=0
z=(x-2)^2+2*y^2
Identical expressions
ax^ two + two bxy+cy^2= one
ax squared plus 2bxy plus cy squared equally 1
ax to the power of two plus two bxy plus cy squared equally one
ax2+2bxy+cy2=1
ax²+2bxy+cy²=1
ax to the power of 2+2bxy+cy to the power of 2=1
Similar expressions
ax^2+2bxy-cy^2=1
ax^2-2bxy+cy^2=1

Canonical form/ ax^2+2bxy+cy^2=1

ax^2+2bxy+cy^2=1 canonical form

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The solution

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        2      2              
-1 + a*x  + c*y  + 2*b*x*y = 0

$$a x^{2} + 2 b x y + c y^{2} - 1 = 0$$

a*x^2 + 2*b*x*y + c*y^2 - 1 = 0