find the solution to the quadratic equation $x^2 - 4 = 0$.

$\bigcirc$ 2 or $1/2$

$\bigcirc$ 2 or -2

Question

find the solution to the quadratic equation $x^2 - 4 = 0$.

$\bigcirc$ 2 or $1/2$

$\bigcirc$ 2 or -2

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", "Difference of Squares" ], "current_concepts": [ "Quadratic Equations", "Difference of Squares" ] } ## Isolate the quadratic term $$ x^2 = 4 $$ ## Apply the square root property $$ x = \pm\sqrt{4} $$ ## Simplify the roots $$ x = 2 \quad \text{or} \quad x = -2 $$

(A) 2 or $1/2$

(B) 2 or -2

{ "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

Simplify the roots

Answer: