solve the following quadratic function by utilizing the square root method.

\y = 9x^2 - 36\

\x = \pm ?\

Question

solve the following quadratic function by utilizing the square root method.

\y = 9x^2 - 36\

\x = \pm ?\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations", "Square Root Property" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Square Root Property" ] } ## Set the quadratic function to zero Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} &y = 0\ &9x^2 - 36 = 0 \end{aligned} $$ ## Isolate the quadratic term Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} &9x^2 = 36\ &x^2 = 4 \end{aligned} $$ ## Apply the square root property Using the **Square Root Property** knowledge point $$ \begin{aligned} &x = \pm\sqrt{4}\ &x = \pm 2 \end{aligned} $$ Solve the following quadratic function by utilizing the square root method. $y = 9x^2 - 36$ $x = \pm$ 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Set the quadratic function to zero

Isolate the quadratic term

Apply the square root property

Answer: