Mister Exam
Other calculators
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- 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
- x^ two +17y^ two +4z^ two +10xy+4xz+8yz+6x+14y=k
- x squared plus 17y squared plus 4z squared plus 10xy plus 4xz plus 8yz plus 6x plus 14y equally k
- x to the power of two plus 17y to the power of two plus 4z to the power of two plus 10xy plus 4xz plus 8yz plus 6x plus 14y equally k
- x2+17y2+4z2+10xy+4xz+8yz+6x+14y=k
- x²+17y²+4z²+10xy+4xz+8yz+6x+14y=k
- x to the power of 2+17y to the power of 2+4z to the power of 2+10xy+4xz+8yz+6x+14y=k
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Similar expressions
- x^2+17y^2+4z^2+10xy+4xz+8yz+6x-14y=k
- x^2-17y^2+4z^2+10xy+4xz+8yz+6x+14y=k
- x^2+17y^2+4z^2+10xy-4xz+8yz+6x+14y=k
- x^2+17y^2+4z^2-10xy+4xz+8yz+6x+14y=k
- x^2+17y^2-4z^2+10xy+4xz+8yz+6x+14y=k
- x^2+17y^2+4z^2+10xy+4xz+8yz-6x+14y=k
- x^2+17y^2+4z^2+10xy+4xz-8yz+6x+14y=k
x^2+17y^2+4z^2+10xy+4xz+8yz+6x+14y=k canonical form
The teacher will be very surprised to see your correct solution 😉
The solution
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2 2 2 x - k + 4*z + 6*x + 14*y + 17*y + 4*x*z + 8*y*z + 10*x*y = 0
$$- k + x^{2} + 10 x y + 4 x z + 6 x + 17 y^{2} + 8 y z + 14 y + 4 z^{2} = 0$$
-k + x^2 + 10*x*y + 4*x*z + 6*x + 17*y^2 + 8*y*z + 14*y + 4*z^2 = 0