Question

solve by completing the square.
\\(y = x^2 + 4x - 7\\)
\\(11 = (x + 2)^2\\)
now we just need to solve for \\(x\\). what is the first step?

subtract 11 from both sides.
take the square root of both sides.

Explanation:

Analyze the current equation state

Using the Completing the Square knowledge point

$$ 11 = (x + 2)^2 $$

Determine the next algebraic operation

Using the Square Root Property knowledge point

$$ \pm\sqrt{11} = x + 2 $$

Answer:

• Subtract 11 from both sides.
• Take the square root of both sides. (Correct answer)