solve for x when $x^2 - 6 = 0$

a. $-3$
b. $\sqrt{3}$
c. $\sqrt{6}$
d. $3$

Question

solve for x when $x^2 - 6 = 0$

a. $-3$
b. $\sqrt{3}$
c. $\sqrt{6}$
d. $3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Quadratic Equations", "Square Root Property" ], "current_concepts": [ "Quadratic Equations", "Square Root Property" ] } ## Isolate the quadratic term $$ x^2 = 6 $$ ## Apply the square root property $$ x = \pm\sqrt{6} $$ ## Match with the given options $$ x = \sqrt{6} $$

(A) $-3$

(B) $\sqrt{3}$

(C) $\sqrt{6}$

(D) $3$

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

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QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Apply the square root property

Match with the given options

Answer: