Question

What is the most logical first step in solving the equation x^2+10x+25=11?

Answer 1

Answer: The answer is (D). Take the square root of both sides of the equation.

Step-by-step explanation:  Given that we are solving the following quadratic equation:

$x^2+10x+25=11.$

We are to select the most logical step among the given options in solving the above quadratic equation.

The correct answer is (D), because taking the square root of both the sides of the equation will directly result in the value of 'x' as follows:

$x^2+10x+25=11\\\\\Rightarrow \sqrt{x^2+10x+25}=\sqrt {11}\\\\\Rightarrow x+5=\pm\sqrt{11}\\\\\Rightarrow x=-5\pm\sqrt{11}.$

Thus, (d) is the answer.