Find the Domain 3xy+2(x^2+y^2)x=7

Problem

3*x*y+2*(x2+y2)*x=7

Solution

1. Identify the type of equation provided. This is an implicit equation involving two variables, x and y

2. Analyze the expression for any restricted operations. The equation 3*x*y+2*(x2+y2)*x=7 consists of polynomial terms (multiplication and addition).

3. Check for denominators. There are no fractions with variables in the denominator, so there is no risk of division by zero.

4. Check for even roots or logarithms. There are no square roots, even-indexed roots, or logarithmic functions that would require arguments to be non-negative or positive.

5. Determine the domain. Since the equation is a polynomial in terms of x and y it is defined for all real numbers. In the context of a relation or a function y=ƒ(x) defined implicitly, the domain is the set of all possible x values.

6. Conclude that there are no values of x that make the expression undefined.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!