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Find the Domain 3x^2+nx+5=0

Problem

3*x2+n*x+5=0

Solution

  1. Identify the type of expression provided. The expression 3*x2+n*x+5=0 is a quadratic equation in terms of x where n is a coefficient.

  2. Determine the constraints on the variable x In a polynomial equation like this, there are no square roots of negative numbers, no denominators that could be zero, and no logarithms.

  3. Conclude the domain for x Since the expression is a polynomial, it is defined for all real numbers.

  4. Consider the domain of the parameter n Similarly, n can be any real number for the equation to be well-defined.

Final Answer

Domain: *(−∞,∞)


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