Find the Domain 16x^2+1=8x

Problem

16*x2+1=8*x

Solution

1. Identify the nature of the expression. The task asks for the domain of the equation 16*x2+1=8*x In the context of an equation involving a single variable x the domain refers to the set of all possible real values that x can take such that the expression is defined.

2. Analyze the components of the equation. The equation consists of a quadratic term 16*x2 a linear term 8*x and a constant 1 These are all polynomial terms.

3. Determine restrictions. Polynomials are defined for all real numbers. There are no denominators containing variables that could result in division by zero, and there are no even roots or logarithms that would restrict the input values.

4. Conclude the domain. Since there are no values of x that make the equation undefined, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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