solving quadratic equations by square roots

solve the following quadratic function by utilizing the square root method. simplify your answer completely.
\y = 16x^2 - 9\
\x = \pm \frac{?}{\quad}\

Question

solving quadratic equations by square roots

solve the following quadratic function by utilizing the square root method. simplify your answer completely.
\y = 16x^2 - 9\
\x = \pm \frac{?}{\quad}\

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 $$ 16x^2 - 9 = 0 $$ ## Isolate the quadratic term Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} 16x^2 &= 9 \ x^2 &= \frac{9}{16} \end{aligned} $$ ## Apply the square root property Using the **Square Root Property** knowledge point $$ \begin{aligned} x &= \pm \sqrt{\frac{9}{16}} \ x &= \pm \frac{3}{4} \end{aligned} $$ Solve the following quadratic function by utilizing the square root method. Simplify your answer completely. $y = 16x^2 - 9$ $x = \pm$ $\frac{3}{4}$ { "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: