Final answer:
The expression f(x) = 4⁴ − 17² + 4 is evaluated by computation, not by solving a quadratic equation. Performing the arithmetic operations provides us with f(x) = -29.
Step-by-step explanation:
The student's question does not directly correlate to the information provided. The expression given for evaluation, f(x) = 4⁴ − 17² + 4, can be simplified directly by computation. The expression is not in the form of a quadratic equation as the provided reference information suggests. Therefore, we will proceed with direct evaluation:
- Calculate 4 raised to the power of 4: 4⁴ = 256.
- Calculate 17 squared: 17² = 289.
- Add 4 to the result of the first calculation.
- Subtract the second calculation from the summation of the first calculation and 4.
This results in f(x) being: 256 - 289 + 4 = -33 + 4 = -29. So, f(x) = -29.
Note that the references to quadratic equations and their solutions with quadratic formula are not applicable here since this exercise involves basic arithmetic operations to evaluate an expression rather than solving a quadratic equation.