solve $x^2 = 4096$. give only the positive root.

66

64

Question

solve $x^2 = 4096$. give only the positive root.

66

64

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations", "Square Root Function" ] } ## Set up the quadratic equation $$ x^2 = 4096 $$ ## Apply the square root property $$ x = \pm\sqrt{4096} $$ ## Calculate the positive root $$ x = 64 \quad (\text{since } 64 \times 64 = 4096) $$

(A) 66

(B) 64

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the quadratic equation

Apply the square root property

Calculate the positive root

Answer: