- #1
scolon94
- 8
- 0
x2-2xy +2y2-2yz+z2=0
hint: 2y2=y2+y2
I thought of replacing 2y^2. But I'm not sure exactly what to do.
Thank you.
hint: 2y2=y2+y2
I thought of replacing 2y^2. But I'm not sure exactly what to do.
Thank you.
MarkFL said:Use the given hint allow with the property of associativity to write:
\(\displaystyle \left(x^2-2xy+y^2 \right)+\left(y^2-2yx+z^2 \right)=0\)
Now do you see how to proceed?
scolon94 said:I'm still confused because of the -2xy and -2yz. Is it possible to complete the square?
A quadric surface is a mathematical term used to describe a three-dimensional shape that can be represented by a second degree equation in three variables (x, y, z). It is a type of 3D surface that can be classified into different categories based on its characteristics.
A quadric surface can be classified by its equation, which can help determine its shape and properties. It can also be classified based on its intersections with the coordinate planes and the types of conics that it contains.
The different types of quadric surfaces include ellipsoids, hyperboloids, paraboloids, cones, and cylinders. These surfaces can further be classified into different categories based on their equations and properties.
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