Find the Domain x^2+2x+5=0

Problem

x2+2*x+5=0

Solution

1. Identify the type of expression provided. The expression x2+2*x+5 is a polynomial function.

2. Recall the definition of a domain for polynomial functions. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. Determine the domain. Since there are no restrictions on the input x for the expression x2+2*x+5 the domain consists of all real numbers.

4. Note the context of the equation. While the equation x2+2*x+5=0 asks for specific values of x that satisfy the equality (the roots), the domain of the function ƒ(x)=x2+2*x+5 refers to the set of all possible input values.

Final Answer

Domain:(−∞,∞)

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