Mister Exam
Other calculators
- Canonical form of a elliptical paraboloid
- Canonical form of a double hyperboloid
- Canonical form of a imaginary ellipsoid
- Canonical form of a degenerate ellipse
- Canonical form of a parabola
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How to use it?
- Canonical form:
- 5*x^2+4*y^2-4*z^2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- y^2+z^2+2*x*y+2*y*z+2*z*x+4*x-4*z=0
- z=4x^4-6x^2-9y^4+9y^2+10
- x^2+17y^2+4z^2+10xy+4xz+8yz+6x+14y=k
- Plot:
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e^(y/x)=x*y+1
- z=sqrt(x*y)/x^2+y^2
- z=-3*x^2+6*x-3*y^2-6*y
- y-x=0
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Identical expressions
- five *x^ two + four *y^ two - four *z^ two - two *x+ two *y- four *z- three *y*z- three *x*z-x*y= zero
- 5 multiply by x squared plus 4 multiply by y squared minus 4 multiply by z squared minus 2 multiply by x plus 2 multiply by y minus 4 multiply by z minus 3 multiply by y multiply by z minus 3 multiply by x multiply by z minus x multiply by y equally 0
- five multiply by x to the power of two plus four multiply by y to the power of two minus four multiply by z to the power of two minus two multiply by x plus two multiply by y minus four multiply by z minus three multiply by y multiply by z minus three multiply by x multiply by z minus x multiply by y equally zero
- 5*x2+4*y2-4*z2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5*x²+4*y²-4*z²-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5*x to the power of 2+4*y to the power of 2-4*z to the power of 2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5x^2+4y^2-4z^2-2x+2y-4z-3yz-3xz-xy=0
- 5x2+4y2-4z2-2x+2y-4z-3yz-3xz-xy=0
- 5*x^2+4*y^2-4*z^2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=O
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Similar expressions
- 5*x^2+4*y^2-4*z^2-2*x+2*y-4*z+3*y*z-3*x*z-x*y=0
- 5*x^2+4*y^2-4*z^2-2*x+2*y-4*z-3*y*z-3*x*z+x*y=0
- 5*x^2+4*y^2+4*z^2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5*x^2+4*y^2-4*z^2-2*x+2*y+4*z-3*y*z-3*x*z-x*y=0
- 5*x^2-4*y^2-4*z^2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5*x^2+4*y^2-4*z^2-2*x+2*y-4*z-3*y*z+3*x*z-x*y=0
- 5*x^2+4*y^2-4*z^2+2*x+2*y-4*z-3*y*z-3*x*z-x*y=0
- 5*x^2+4*y^2-4*z^2-2*x-2*y-4*z-3*y*z-3*x*z-x*y=0
5*x^2+4*y^2-4*z^2-2*x+2*y-4*z-3*y*z-3*x*z-x*y=0 canonical form
The teacher will be very surprised to see your correct solution 😉
The solution
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2 2 2 -4*z - 4*z - 2*x + 2*y + 4*y + 5*x - x*y - 3*x*z - 3*y*z = 0
$$5 x^{2} - x y - 3 x z - 2 x + 4 y^{2} - 3 y z + 2 y - 4 z^{2} - 4 z = 0$$
5*x^2 - x*y - 3*x*z - 2*x + 4*y^2 - 3*y*z + 2*y - 4*z^2 - 4*z = 0