7) una solución de la ecuación

$x^2 + 2x = 8$ es

a) 4

b) -2

c) 2

d) 0

Question

7) una solución de la ecuación

$x^2 + 2x = 8$ es

a) 4

b) -2

c) 2

d) 0

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Quadratic Equations", "Factoring Quadratics" ], "current_concepts": [ "Quadratic Equations", "Factoring Quadratics" ] } ## Reescribir la ecuación en forma estándar $$ \begin{aligned} x^2 + 2x &= 8 \ x^2 + 2x - 8 &= 0 \end{aligned} $$ ## Factorizar la ecuación cuadrática $$ \begin{aligned} (x + 4)(x - 2) &= 0 \end{aligned} $$ ## Resolver para x $$ \begin{aligned} x + 4 = 0 \quad &\Rightarrow \quad x = -4 \ x - 2 = 0 \quad &\Rightarrow \quad x = 2 \end{aligned} $$

A) 4

B) -2

C) 2

D) 0

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Reescribir la ecuación en forma estándar

Factorizar la ecuación cuadrática

Resolver para x

Answer: