Find the Domain z^4-50x^2+49=0

Problem

z4−50*z2+49=0

Solution

1. Identify the type of equation. This is a polynomial equation in terms of z

2. Determine the domain of the expression. The expression z4−50*z2+49 is a polynomial.

3. Apply the definition of a polynomial domain. Polynomials are defined for all real numbers because they do not involve division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Conclude that the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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