Hysteria X said:
i divided the whole term by y^2 and i separated the y and x terms on both sides of the equation then i think the next step would be to convert into factors but how am i supposed to do that why y would be in the denominator in rhs??Mark44 said:
Dick said:
Hysteria X said:
Dick said:
Hysteria X said:##x^2y^2−2xy^2−3y^2−4x^2y+8xy+12y=0##
##y^2(x^2-2x-3)-4y(x^2-2x-3)=0##
##y-4=0##
##y=4##? what conic is that? is it a straight line
You skipped some steps here. Write the equation above as a product instead of a difference. In the two terms above there is a common factor: x2 - 2x - 3.Hysteria X said:
Hysteria X said:##y-4=0##
##y=4##? what conic is that? is it a straight line
A conic equation is a mathematical representation of a conic section, which is a curve that can be formed by the intersection of a plane and a cone. The conic equation is typically in the form of Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, where A, B, C, D, E, and F are constants and x and y are variables.
The four main types of conic sections are circles, ellipses, parabolas, and hyperbolas. Each type has its own unique characteristics and can be identified by the shape and orientation of the curve.
To solve a conic equation for unknown variables, you can use various methods such as completing the square, graphing, substitution, or elimination. The specific method you use will depend on the type of conic section and the given information.
A circle equation is a type of conic equation that represents a circle, which is a special type of ellipse with equal radii. The difference between a general conic equation and a circle equation is that the circle equation has additional restrictions, such as A = C and B = 0.
Yes, a conic equation can have multiple solutions, depending on the given constraints and the type of conic section. For example, an ellipse can have two solutions, a parabola can have one solution, and a hyperbola can have two or no solutions.