solve for all values of $x$ by factoring: $x^2 + 4x - 49 = 2x - 1$.

a $x = -7, x = 6$
b $x = -6, x = 6$
c $x = -6, x = 7$
d $x = -7, x = 7$

Question

solve for all values of $x$ by factoring: $x^2 + 4x - 49 = 2x - 1$.

a $x = -7, x = 6$
b $x = -6, x = 6$
c $x = -6, x = 7$
d $x = -7, x = 7$

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": [ "Factoring Trinomials" ], "current_concepts": [ "Quadratic Equations", "Factoring Trinomials" ] } ## Reordenar la ecuación cuadrática $$ \begin{aligned} x^2 + 4x - 49 &= 2x - 1 \ x^2 + 4x - 2x - 49 + 1 &= 0 \ x^2 + 2x - 48 &= 0 \end{aligned} $$ ## Factorizar el trinomio $$ \begin{aligned} (x + 8)(x - 6) &= 0 \end{aligned} $$ ## Resolver para x $$ \begin{aligned} x + 8 = 0 &\implies x = -8 \ x - 6 = 0 &\implies x = 6 \end{aligned} $$

A) $x = -7, x = 6$

B) $x = -6, x = 6$

C) $x = -6, x = 7$

D) $x = -7, x = 7$

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

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Question

Explanation:

Reordenar la ecuación cuadrática

Factorizar el trinomio

Resolver para x

Answer: