question 16 points 3

solve: $x^2 + 21 = 142$

$x = -11$ or $x = 11$

$x = -11$ or $x = 1/11$

Question

question 16 points 3

solve: $x^2 + 21 = 142$

$x = -11$ or $x = 11$

$x = -11$ or $x = 1/11$

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" ] } ## Isolate the quadratic term $$ \begin{aligned} x^2 + 21 &= 142 \ x^2 &= 142 - 21 \ x^2 &= 121 \end{aligned} $$ ## Solve for x using square roots $$ \begin{aligned} x &= \pm \sqrt{121} \ x &= \pm 11 \ x = -11 &\text{ or } x = 11 \end{aligned} $$

(A) $x = -11$ or $x = 11$

(B) $x = -11$ or $x = 1/11$

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

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Question

Explanation:

Isolate the quadratic term

Solve for x using square roots

Answer: