solve the equation.

\k^2 - 196 = 0\

\k = \pm ? \

Question

solve the equation.

\k^2 - 196 = 0\

\k = \pm  ? \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations", "Square Root Property", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Square Root Property", "Difference of Squares" ] } ## Isolate the quadratic term Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} k^2 - 196 &= 0 \ k^2 &= 196 \end{aligned} $$ ## Apply the square root property Using the **Square Root Property** knowledge point $$ \begin{aligned} k &= \pm\sqrt{196} \ k &= \pm 14 \end{aligned} $$ Solve the equation. $k^2 - 196 = 0$ $k = \pm$ 14 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Apply the square root property

Answer: