solve the equation.

\5z^2 - 45 = 0\

\z = \pm ? \

Question

solve the equation.

\5z^2 - 45 = 0\

\z = \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" ] } ## Isolate the quadratic term Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} 5z^2 - 45 &= 0 \ 5z^2 &= 45 \ z^2 &= 9 \end{aligned} $$ ## Apply the square root property Using the **Square Root Property** knowledge point $$ \begin{aligned} z &= \pm\sqrt{9} \ z &= \pm3 \end{aligned} $$ Solve the equation. $5z^2 - 45 = 0$ $z = \pm$3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Apply the square root property

Answer: