Mathematics: Which strategy is the most appropriate to solve : x^2 - 8x = 242 ? a. completing the square b. zero product property c. square root property

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Which strategy is the most appropriate to solve

leobaut6145

17.01.2022

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.

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