
Desafío de Ecuaciones Cuadráticas
Quiz
•
Mathematics
•
10th Grade
•
Hard
Shirley Chavez
Used 1+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Resuelve la ecuación: x² - 5x + 6 = 0.
x = 2, x = 3
x = 4
x = 5
x = 1
Answer explanation
Para resolver la ecuación x² - 5x + 6 = 0, factorizamos como (x - 2)(x - 3) = 0. Esto nos da las soluciones x = 2 y x = 3, que son las respuestas correctas.
2.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Identifica los coeficientes de la ecuación: 2x² + 3x - 5 = 0.
1, 4, -5
Los coeficientes son: 2, 3, -5.
2, 3, 5
2, -3, -5
Answer explanation
En la ecuación 2x² + 3x - 5 = 0, los coeficientes son los números que multiplican a cada término. Por lo tanto, los coeficientes son: 2 (de x²), 3 (de x) y -5 (término constante). La respuesta correcta es: 2, 3, -5.
3.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Aplica la fórmula cuadrática para resolver: x² + 4x + 4 = 0.
x = -2
x = 0
x = 2
x = -4
Answer explanation
Para resolver x² + 4x + 4 = 0, aplicamos la fórmula cuadrática. Aquí, a = 1, b = 4, c = 4. Calculamos el discriminante: D = b² - 4ac = 0. La solución es x = -b/(2a) = -4/2 = -2. Por lo tanto, x = -2 es la respuesta correcta.
4.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Factoriza el trinomio: x² - 9.
(x - 3)(x + 3)
(x - 6)(x + 6)
(x - 3)(x - 3)
(x - 9)(x + 1)
Answer explanation
El trinomio x² - 9 es una diferencia de cuadrados, que se factoriza como (x - 3)(x + 3). Las otras opciones no son correctas para este trinomio.
5.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Resuelve la ecuación: 3x² - 12 = 0.
x = 2, x = -2
x = 3, x = -3
x = 1, x = -1
x = 4, x = -4
Answer explanation
Para resolver la ecuación 3x² - 12 = 0, sumamos 12 a ambos lados: 3x² = 12. Luego, dividimos entre 3: x² = 4. Finalmente, sacamos la raíz cuadrada: x = 2 y x = -2. Por lo tanto, la respuesta correcta es x = 2, x = -2.
6.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Identifica los coeficientes de la ecuación: -x² + 7x + 10 = 0.
Coeficientes: a = 1, b = -7, c = -10
Coeficientes: a = 0, b = 7, c = 10
Coeficientes: a = -1, b = -7, c = 5
Coeficientes: a = -1, b = 7, c = 10
Answer explanation
En la ecuación -x² + 7x + 10 = 0, el coeficiente a es -1 (de -x²), b es 7 (de 7x) y c es 10 (término constante). Por lo tanto, la respuesta correcta es: a = -1, b = 7, c = 10.
7.
MULTIPLE CHOICE QUESTION
45 sec • 4 pts
Aplica la fórmula cuadrática para resolver: 5x² - 20x + 15 = 0.
x = 2, x = 6
x = 0, x = 4
x = 5, x = -1
x = 3, x = 1
Answer explanation
Aplicando la fórmula cuadrática x = (-b ± √(b²-4ac)) / 2a con a=5, b=-20, c=15, obtenemos x = 3 y x = 1 como soluciones. Por lo tanto, la respuesta correcta es x = 3, x = 1.
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