question 18 points 2

solve $x^2 - 5x - 24 = 0$.

$x = -6$ and $2$

$x = -3$ and $8$

Question

question 18 points 2

solve $x^2 - 5x - 24 = 0$.

$x = -6$ and $2$

$x = -3$ and $8$

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", "Factoring Quadratic Trinomials" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations", "Factoring Quadratic Trinomials" ] } ## Identify the quadratic equation $$ x^2 - 5x - 24 = 0 $$ ## Factor the quadratic trinomial $$ (x - 8)(x + 3) = 0 $$ ## Solve for x $$ \begin{aligned} x - 8 = 0 &\implies x = 8 \ x + 3 = 0 &\implies x = -3 \end{aligned} $$

$x = -6$ and $2$

$x = -3$ and $8$

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

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QUESTION IMAGE

Question

Explanation:

Identify the quadratic equation

Factor the quadratic trinomial

Solve for x

Answer: