question 2 (1 point)

given the function $f(x) = x^2 - 6x + 8$, answer the following question:

find $x$ if $f(x) = 3$.

Question

question 2 (1 point)

given the function $f(x) = x^2 - 6x + 8$, answer the following question:

find $x$ if $f(x) = 3$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Quadratic Equations", "Function Evaluation" ], "current_concepts": [ "Quadratic Equations", "Function Evaluation" ] } ## Set up the equation $$ x^2 - 6x + 8 = 3 $$ ## Rearrange into standard quadratic form $$ x^2 - 6x + 5 = 0 $$ ## Solve by factoring $$ \begin{aligned} &(x - 1)(x - 5) = 0 \ &x = 1 \quad \text{or} \quad x = 5 \end{aligned} $$ $x = 1$ or $x = 5$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the equation

Rearrange into standard quadratic form

Solve by factoring

Answer: