Answer: The appropriate strategy is (A). Completing the square.
Step-by-step explanation: The given quadratic equation is
\(x^2-8x=242.~~~~~~~~~~~~~~~(i)\)
Since the constant term is not equal to zero, so Zero product property is no appropriate to solve the equation.
From equation (i), we have
\(x^2-8x=242\\\\\Rightarrow x^2-8x-242=0.\)
The left hand side of the above equation is not a perfect square, so the square root property is also not appropriate.
Completing the square strategy is appropriate to solve the equation (i).
The solution using this strategy is as follows:
\(x^2-8x=242\\\\\Rightarrow x^2-8x+16=242+16\\\\\Rightarrow (x+4)^2=256\\\\\Rightarrow x+4=\pm 16\\\\\Rightarrow x=12, -20.\)
In this way, we can solve the equation by Completing the square strategy.
Thus, (A) is the correct option.
