Final answer:
The question involved providing a two-column proof for the equation 5(x - 2) = 2x - 4, demonstrating that x equals 2. The proof uses distribution, subtraction, and division to isolate the variable and find its value. No quadratic formula is necessary for this linear equation.
Step-by-step explanation:
We are given the equation 5(x - 2) = 2x - 4 and we need to prove that x=2. Here is the two-column proof for the equation:
ExplanationAnswerDistribute 5 over (x - 2).5x - 10 = 2x - 4Subtract 2x from both sides of the equation.3x - 10 = -4Add 10 to both sides of the equation.3x = 6Divide both sides by 3 to solve for x.x = 2
By following the steps above, we have proven that the solution to the equation is x=2. This solution did not require the use of the quadratic formula.
It is important to note that the information provided in the question about the quadratic formula and other mathematical expressions appears to be irrelevant to solving this specific equation.