solve $z^2 = 121$.

$z =$

and

$z =$

Question

solve $z^2 = 121$.

$z =$

and

$z =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Equations", "Solving for Variables" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations", "Solving for Variables", "Radical Equations" ] } ## Apply the square root property $$ \begin{aligned} z^2 &= 121 \ z &= \pm\sqrt{121} \end{aligned} $$ ## Simplify the radical $$ \begin{aligned} \sqrt{121} &= 11 \ z &= 11 \quad \text{or} \quad z = -11 \end{aligned} $$ $z =$ -11 and $z =$ 11 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the square root property

Simplify the radical

Answer: