Janet is trying to solve an equation and gets stuck at, x^2 (2x - 1) + 3x (2x - 1) - 4 (2x - 1) = 0. Which of the following is a complete set of solutions to Janet's equation?
1/2, 4, -1
1/2
1/2, -4, 1
-4, 1
To solve the equation, let's factor out the common term (2x - 1):
(x^2 + 3x - 4) (2x - 1) = 0
Now, we have two parts that multiply to give zero. This means that one or both of the parts must be equal to zero:
x^2 + 3x - 4 = 0 (1)
2x - 1 = 0 (2)
Now we solve equation (2) for x:
2x - 1 = 0
2x = 1
x = 1/2
Now we solve equation (1) for x. We can factor it as follows:
(x + 4)(x - 1) = 0
Setting each factor equal to zero:
x + 4 = 0
x = -4
x - 1 = 0
x = 1
So the complete set of solutions to Janet's equation is:
x = -4, 1/2, 1
The correct answer is: -4, 1/2, 1
Translate the following to spanish:
A Dinosaur coloring book can combine the excitement of dinosaurs, the joy of coloring, and the educational benefits, making it a fun and engaging activity for kids.
Un libro para colorear de dinosaurios puede combinar la emoción de los dinosaurios, la alegría de colorear y los beneficios educativos, convirtiéndolo en una actividad divertida y atractiva para los niños.
Translate the following to spanish:
This book features fun designs that are ready to unlock your child's creativity, as well as easy-to-color dinosaur friends
Este libro presenta diseños divertidos que están listos para desbloquear la creatividad de tu hijo/a, así como amigos dinosaurios fáciles de colorear.
Si podemos usar otra palabra que no sea "desbloquear" ?
Este libro cuenta con diseños divertidos que están listos para estimular la creatividad de tu hijo/a, así como amigos dinosaurios fáciles de colorear.
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