-x2-y3-%3D-0-gambar.jpeg "(x2 + Y2-1) X2 Y3 = 0 Gambar")
Graph of (x2 + y2 - 1) x2 y3 = 0
In this article, we will explore the graph of the equation (x2 + y2 - 1) x2 y3 = 0.
Understanding the Equation
The equation (x2 + y2 - 1) x2 y3 = 0 is a polynomial equation of degree 6 in two variables x and y. The equation can be broken down into two parts:
- The first part is x2 + y2 - 1, which is a circle centered at the origin with a radius of 1.
- The second part is x2 y3, which is a product of two variables.
Graphing the Equation
To graph the equation, we need to find the points that satisfy the equation. Since the equation is a product of two factors, we can find the points where each factor equals zero.
Factor 1: x2 + y2 - 1 = 0
The first factor is a circle centered at the origin with a radius of 1. The graph of this equation is a circle with the following properties:
- Center: (0, 0)
- Radius: 1
Factor 2: x2 y3 = 0
The second factor is a product of two variables. The graph of this equation consists of two lines:
- x = 0 (y-axis)
- y = 0 (x-axis)
Graph of the Equation
The graph of the equation (x2 + y2 - 1) x2 y3 = 0 is the intersection of the circle and the two lines. The resulting graph is:
Graph:
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As we can see from the graph, the equation has three distinct components: a circle, the x-axis, and the y-axis.
Conclusion
In conclusion, the graph of the equation (x2 + y2 - 1) x2 y3 = 0 is a complex graph consisting of a circle and two lines. The graph provides a visual representation of the equation and helps us understand the relationship between the variables x and y.
