Final answer:
To solve for 'a' and 'c' in the quadratic equation given the condition 4a = c, one would typically solve for 'a' first and then find 'c' using this relation. However, without additional information or constraints, it's impossible to determine unique values for 'a' and 'c'.
Step-by-step explanation:
The student is asking us to solve for 'a' and 'c' in a quadratic equation of the form f(x) = ax²-12x+c, given the condition that 4a = c. To find the value of 'a' and 'c', we can use the given condition directly since no other constraints are provided. We solve for 'a' first using the equality 4a = c, then we plug the value of 'a' back into the equation to find 'c'.
Step 1: Let's express 'c' in terms of 'a' using the given condition.
c = 4a
Since we have no further information to determine the exact values, we cannot solve for 'a' or 'c' uniquely. More constraints or details about the function f(x) such as the roots or vertex of the parabola would be necessary to find specific values of 'a' and 'c'.