solve by completing the square.
$y = x^2 + 4x - 7$
$\pm\sqrt{11} = x + 2$
now we just need to solve for $x$. what is the final step?

add 2 to both sides.
subtract 2 from both sides.

Question

solve by completing the square.
$y = x^2 + 4x - 7$
$\pm\sqrt{11} = x + 2$
now we just need to solve for $x$. what is the final step?

add 2 to both sides.
subtract 2 from both sides.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Completing the Square", "Solving Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Completing the Square", "Solving Quadratic Equations" ] } ## Identify the current equation Using the *Completing the Square* and *Solving Quadratic Equations* knowledge points $$ \pm\sqrt{11} = x + 2 $$ ## Isolate the variable x Using the *Solving Quadratic Equations* knowledge point $$ \begin{aligned} \pm\sqrt{11} - 2 &= x\ x &= -2 \pm \sqrt{11} \end{aligned} $$ This requires subtracting 2 from both sides of the equation.

Add 2 to both sides.

Subtract 2 from both sides.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Completing the Square" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the current equation

Isolate the variable x

Answer: